Propellant gauging at microgravity within the pressure-temperature-density inflection zone of xenon

ABSTRACT

A method that is stored in tangible form and accessible by a data processing system for determination of xenon propellant remaining in a tank for a defined life condition. A heater controller establishes a first stable temperature of a propellant tank. A measurement is performed of a temperature and a pressure at the first stable temperature of the propellant tank. A second higher stable temperature is provided in the propellant tank. A measurement is performed of a temperature and a pressure at a second stable temperature. A computer processor computes a mass based on density and volume in accordance with measurements of temperature and pressure at the first stable temperature and the second stable temperature.

RELATED APPLICATION

This patent arises from a continuation of U.S. application Ser. No.13/658,758, titled “Propellant Gauging at Microgravity Within thePressure—Temperature—Density Inflection Zone of Xenon,” filed Oct. 23,2012, which is incorporated herein by this reference in its entirety.

FIELD

Embodiments of the disclosure relate generally to the field ofpropellant mass remaining calculation for propellant (such as xenon)tanks and more particularly to a method for calculating mass of xenon asa non-ideal gas using controlled temperature differential to induceassociated pressure differential allowing an iterative differentialpressure and temperature calculation with known tank volume to backcalculate xenon mass remaining.

BACKGROUND

Xenon thrusters are employed in many spacecraft applications for stationkeeping and on-orbit maneuvering. Xenon used as a propellant is anon-ideal gas. Propellant quantity gauging for xenon in microgravity istherefore very difficult along the pressure-temperature-densityinflection zone because small changes in pressure or temperature canchange the calculated density by over 100%. Diurnal effects impactgauging measurements due to changing environmental conditions of thespacecraft. Additionally, small biases or inaccuracies in the telemetrycan also cause significant uncertainty in mass remaining. Currentquantity gauging is accomplished by book-keeping methods subtractingestimated amounts of propellant processed during each thruster operationfor defining remaining quantity of propellant until quantity andassociated pressure in the tank drops below approximately 1 MPa at whichpoint ideal gas calculations for mass based on pressure, volume,density, and temperature can be assumed with reasonable accuracy.

It is therefore desirable to provide a method for calculation of xenonmass in a propellant tank which corrects for non-ideal gas propertiesand sensor biases for a range of propellant quantities in which idealgas calculations cannot be accurately used.

SUMMARY

Embodiments disclosed herein provide a method for determination of xenonpropellant remaining in a tank for a defined spacecraft on-orbit servicelife condition by establishing a first stable temperature of apropellant tank. Measurement of temperature and pressure at the firstfixed temperature is accomplished. A second higher stable temperature isthen established in the propellant tank. Measurement of temperature andpressure is then accomplished at the higher temperature. The twomeasurements of temperature and pressure are then used to calculate themass of remaining propellant based on known xenon density properties andtank volume.

The features, functions, and advantages that have been discussed can beachieved independently in various embodiments of the present disclosureor may be combined in yet other embodiments further details of which canbe seen with reference to the following description and drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a block diagram schematic of a spacecraft xenon propellantfeed system;

FIG. 2 is a graphical representation of the relationship betweentemperature, pressure and mass for xenon in an example tank of knownvolume using pure xenon density properties;

FIG. 3 is a detail section graphical representation of the Zone 2Midlife portion of FIG. 2;

FIG. 4 is a flow chart showing the determination of mass remaining in atank based on measured temperature and pressure change;

FIG. 5 is a block diagram of elements of the propellant mass gaugingsystem;

FIG. 6 is a graph of mass remaining at differential pressures based ondifferential temperatures; and,

FIG. 7 is a block diagram of a computer architecture which may beemployed for the propellant mass gauging system.

DETAILED DESCRIPTION

Embodiments disclosed herein provide a method for calculating theremaining mass in a xenon propellant tank in a quantity range in whichideal gas behavior is not present. As shown in FIG. 1, an examplesatellite system 10 employs a spacecraft platform 12 containingscientific experiments, communication system or other satellite payload.Included on the platform are xenon thrusters 14 (one is shown as anexample but numerous thrusters at various locations on the platform andwith varying thrust axes are employed). A propellant tank 16 holds xenonpropellant for the thrusters. Within the tank a heater element 18 ispresent to allow tank temperature control and resulting pressurecontrol. Tank temperature control may be augmented with thermalblankets. A heater controller 20 provides controlled power to theheater. A temperature sensor 22 and a pressure sensor 24 in the tankmeasure temperature and pressure and provide data to a control computer26. The control computer is connected to the heater controller forcontrol of the heater to achieve desired temperatures within the tank.

The amount of xenon propellant remaining in the tank 16 needs to beknown to properly plan satellite control using the thrusters 14.However, xenon is not an ideal gas. Consequently, usual gaseouspropellant gauging techniques using temperature, pressure and the knownvolume of the propellant tank are not effective for the majority of theusable range of propellant quantity. FIG. 2 shows the non-ideal natureof xenon for an example propellant tank having an initial quantity ofapproximately 135 kg of xenon with curves for parametric temperaturesplotted against pressure and corresponding mass remaining in the tank.Since knowledge of remaining quantity of propellant becomes morecritical as the total available propellant approaches exhaustion, zonesof propellant quantity (or depletion zones) have been established basedon criticality of the measurement and availability of measurementtechniques. As shown in FIG. 2, Zone 1, within block 30, where the tanknears exhaustion of propellant, is established in a pressure regime inwhich ideal gas behavior may be approximated and used for measurement ofthe remaining propellant quantity. Zone 2, within block 32, is the zonewhere husbanding of propellant and knowledge of quantity remaining ismost difficult to ascertain to assure desired mission service lifelongevity, constitutes the zone for which the present embodiments aremost useful. Zone 3, within block 34, referred to as the low temperaturedrop off point, is a limited range and near the full condition in whichaccurate gauging is not as critical. Zone 4, within block 36, is theearly life condition where the tank is nearly full and book-keepingmethods, tabular look up or pseudo polynomial calculations based onpressure and temperature may be used to estimate propellant quantity.

Examining zone 2 in detail in FIG. 3 it can be seen that at lowertemperatures and a given pressure, the mass remaining varies extensively(near vertical slope). For example with a temperature of 17° C. apressure differential of 0.1 MPa between 5.8 and 5.9 MPa can have a massrange of approximately 52 kg, point 38, to 86 kg, point 40 in massremaining. However, at 34° C. that same pressure differential of 0.1 MPabetween 7.7 and 7.8 MPa only has a mass range of approximately 69 kg,point 42, to 71 kg, point 44. By determining the pressure differentialcreated by an induced temperature differential it is then possible todetermine an associated mass remaining with a significantly higherdegree of accuracy. Demonstrated graphically in FIG. 3, by establishingand maintaining a tank temperature of 19° C. using the heater element 18under control of the heater controller 20 if 70 kg xenon is in the tank,a pressure of 6.1 MPa, point 46, will be measured. Increasing thetemperature to a new stabilized point of 32° C. and measuring theresulting pressure as 7.55 MPa, point 48, allows a determination thatthe mass is, in fact, 70 kg of xenon. Since there is no change in mass(or negligible change since actual usage of xenon over a couple of daysof station-keeping maneuvering for thruster burns is very small), thedetermined change in pressure (delta P) for a given change intemperature (delta T) can only occur at a specific mass remaining. Whiledescribed herein for xenon as the propellant, the structure and methoddisclosed in the embodiments is applicable for gauging of mass remainingfor alternative gases having non-ideal characteristics with asignificant S-curve or inflection and spread in the temperature,pressure and density as demonstrated in FIG. 3.

Employing this relationship, calculation of remaining xenon propellantin the tank can be accomplished as defined in FIG. 4. Using the heatercontroller 20 to control the heater element 18, establish and hold tanktemperature as measured by the temperature sensor 22 at an initialtemperature (for the example case, between 17 and 17.5° C.), step 402.Measure temperature and pressure average over a approximately a two dayperiod, step 404. Raise the temperature by a delta T of 5 to 15 degreeC. and hold for approximately 2 days, step 406. Measure temperature andpressure average, step 408. Steps 404 through 408 may be repeated toobtain additional measurement points, step 410. For each stabilizedtemperature a density is then determined as a function of pressure andtemperature using standard density tables, step 412. A reverse pressuretable providing density as a function of temperature and pressure iscreated from the standard density tables, step 414. The known volume ofthe propellant tank as a function of pressure and temperature allowsxenon propellant mass to be determined from corresponding density in thepressure/temperature/density tables and substituted in either or bothtables, step 416. Pressure/temperature/mass tables are then overlappedand the temperature scale and pressure scale are subtracted to create amass table, step 418 (a detailed example will provided subsequently).The mass remaining is then determined as a function of delta P and deltaT, step 420.

As shown in FIG. 5, implementation of an embodiment of the xenonpropellant zone 2 gauging system is accomplished with the heatercontroller 20 under direction of a control computer 26 which receivesinput from the temperature sensor 22 and pressure sensor 24. Thespacecraft or ground-based control computer 26 employs a memory 52storing a standardized pressure/temperature/density table 54 for xenonin zone 2. The control computer 26 commands the heater controller 20 tomaintain desired temperatures at a selected series of hold points asdefined previously with respect to FIG. 4. Pressure and temperature datafrom each hold point is operated on by a compare routine 56 using table54 to obtain a density value for each hold point. A first conversionengine 58 creates and stores a reverse pressure calculation table 60 inmemory 52. A mass calculation engine 66 employing measured or calculatedvolume of the xenon propellant storage tank 16 converts density to massbased on pressure and temperature of the tank in either or both tables54 and 60. A second conversion engine 62 operates on the data of thereverse pressure calculation table 60 selecting pressure differentialsbased on temperature differentials to provide a table 64 of mass foreach temperature differential, dT, in the hold points as a function ofmeasured pressure differential, dP. The control computer 26 provides anoutput 68 reflecting remaining mass of xenon in the propellant tank asdetermined from dP and dT. Examples for tables 54, 60 and 64 with massconversion as determined by mass calculation engine 66 are provided inappendix 1, appendix 2 and appendix 3, respectively, of thisapplication. As previously described with respect to FIG. 4, appendix 2is determined from appendix 1 by reversing the pressure and density inthe table such that density/mass is shown in the left column as afunction of temperature in the first row and associated pressures in thetable body. Conversion of density to mass using known volume of theexample tank at the corresponding pressures and temperatures isaccomplished at the table of appendix 1 for this example. Appendix 3 isdetermined from appendix 2 by subtracting the temperature columns ofappendix 2 as a function of mass (or density) from the initial column(i.e. 35.1C column minus the 17.2C column). The pressure within each rowof a temperature column is also subtracted giving a delta pressure rowin the table body of appendix 3. The resulting array in appendix 3 isexpressed as a function of delta T and delta P. For appendix 3, thearrays are then rearranged so that for given delta T and P, a mass isthen found in the left most column of the table. For example in Appendix3, for 18C delta (the furthest right column and 1.675 MPa delta pressurehighlighted, the mass is found to the left to be 61.4 kg.

EXAMPLE 1

An exemplary determination of remaining mass of xenon propellant usingthe xenon propellant zone 2 gauging system as described was made.Temperature of the exemplary tank was set by the heater controller at17.25° C.+/−0.25° C. Data was recorded every minute for approximately 2days to establish steady state conditions of the tank. Data was recordedfor approximately 2 days and an average pressure and temperature ofapproximately 5.7 MPa at 17.2° C. was obtained. As a reference astandard mass calculation using available NIST 12 pure xenon densityproperty tables and tank volume for the stabilized pressure andtemperature indicates a mass remaining of 50.6 kg+/−20 kg. A secondtemperature of 35.25° C.+/−0.25° C. was commanded and data recorded forapproximately 2 days to demonstrate steady state conditions of the tank.Data was recorded for 2 days at the steady state conditions and anaverage pressure of approximately 7.4 MPa and average temperature of35.1° C. was obtained. Again as a reference a calculation using NIST 12xenon density property tables was made indicating a mass of 58.6 kg+/−10kg. Using the differential pressure between the two stabilizedconditions of 1.7 MPa and differential temperature of 17.9° C. andoperating on that differential data with table 64 (appendix 3) asdefined herein provided a mass calculation of 61.4 kg+/−3 kgdemonstrating significantly greater mass remaining accuracy thanindividual NIST 12 density and tank volume calculations.

FIG. 6 is a graphical representation of the data provided by table 64.The available uncertainty of the mass remaining data extractiondemonstrated by the increasing slope of the curves 70, 72, 74 and 76 fordifferential temperatures of 5° C., 10° C., 15° C. and 18° C.respectively with greatest mass remaining accuracy (i.e. minimumuncertainty) provided by the largest shown differential temperature at18° C.

FIG. 7 is a diagram of an exemplary data processing system 200 that maybe used in implementing one or more of the embodiments described herein.For example, control of xenon thrusters 14, and heater controller 20,data acquisition from temperature sensor 22, pressure sensor 24, thefunctions of control computer 26 and memory 52, software modules such asfirst conversion engine 58, second conversion engine 62, masscalculation table 66, table 54 to obtain density value for each holdpoint, table 64 of density for each pressure differential, reversepressure calculation table 60 in memory 52, and/or one or morecomponents integrated in satellite system 10 or xenon propellant Zone 1,2, 3, 4 gauging system(s) discussed above may be implemented using dataprocessing system 200. In the exemplary embodiment, data processingsystem 200 includes communications fabric 202 providing communicationsbetween processor unit 204, memory 206, persistent storage 208,communications unit 210, input/output (I/O) unit 212, and display 214.

Processor unit 204 serves to execute instructions for software that maybe loaded into memory 206. Processor unit 204 may be a set of one ormore processors or may be a multi-processor core, depending on theparticular implementation. In one example, processor unit 204 isimplemented using one or more heterogeneous processor systems includinga main processor and one or more secondary processors on a single chip.

Processor unit 204 may be a multi-processor system containing multiple,same type processors. Processor unit 204 may be implemented using one ormore programmable circuits including one or more systems andmicrocontrollers, programmable logic circuits, field programmable gatearrays (FPGA), microprocessors, application specific integrated circuits(ASIC), and other like circuits capable of executing the functionsdescribed herein.

Memory 206 and persistent storage 208 are examples of storage devicescapable of storing information including the software modules either ona temporary basis and/or a permanent basis. In another example, memory206, may be a random access memory or any other volatile or non-volatilestorage device or the like. Persistent storage 208 may take variousforms depending on the particular implementation. In one instance,persistent storage 208 may be a fixed or removable hard drive, a flashmemory, a rewritable optical disk, a rewritable magnetic tape, or somecombination of the above. In one example, a removable hard drive may beused for persistent storage 208.

Input/output unit 212 provides input and output of data with one or moreother devices that may be connected to data processing system 200.Input/output unit 212 may provide, for example, without limitation, aconnection for user input through a keyboard and mouse. Input and/oroutput unit 212 may send output to a printer. Display 214 provides amechanism to display information to a user.

Communications unit 210, in these examples, provides for communicationswith other data processing systems or devices. In these examples,communications unit 210 is a network interface card. Communications unit210 may provide communications through the use of either or bothphysical and wireless communication links. Instructions for theoperating system and applications or programs are located on persistentstorage 208. Instructions may be loaded into memory 206 for execution byprocessor unit 204. Processes of various embodiments may be performed byprocessor unit 204 using computer implemented instructions, which may belocated in a memory, such as memory 206. These instructions are referredto as program code, computer usable program code, or computer readableprogram code that may be read and executed by a processor in processorunit 204. The program code in the different embodiments may be embodiedon different physical or tangible computer readable media, such asmemory 206 or persistent storage 208.

Program code 216 to operate, for example, first conversion engine 58,second conversion engine 62, mass calculation engine 66, or controlcomputer 26 or other components of satellite system 10 is located in afunctional form on computer readable media 218 that is selectivelyremovable and may be loaded onto or transferred to data processingsystem 200 for execution by processor unit 204. Program code 216 andcomputer readable media 218 form computer program product 220 in theseexamples. Computer readable media 218 may be in a tangible form, suchas, for example, an optical or magnetic disc that is inserted or placedinto a drive or other device that is part of persistent storage 208 fortransfer onto a storage device, such as a hard drive that is part ofpersistent storage 208. Computer readable media 218 may take the form ofa tangible form including persistent storage, such as a hard drive, athumb drive, or a flash memory that is connected to data processingsystem 200. The tangible form of computer readable media 218 is alsoreferred to as computer recordable storage media. In some instances,computer readable media 218 may not be removable.

Alternatively, program code 216 may be transferred to data processingsystem 200 from computer readable media 218 through a communicationslink to communications unit 210 and/or through a connection toinput/output unit 212. The communications link and/or the connection maybe physical or wireless in the illustrative examples. The computerreadable media also may take the form of non-tangible media, such ascommunications links or wireless transmissions containing the programcode.

In some illustrative embodiments, program code 216 may be downloadedover a network to persistent storage 208 from another device or dataprocessing system for use within data processing system 200. Forinstance, program code stored in a computer readable storage medium in aserver data processing system may be downloaded over a network from theserver to data processing system 200. The data processing systemproviding program code 216 may be a server computer, a client computer,or some other device capable of storing and transmitting program code216.

The different components illustrated for data processing system 200 arenot meant to provide architectural limitations to the manner in whichdifferent embodiments may be implemented. The different illustrativeembodiments may be implemented in a data processing system includingcomponents in addition to or in place of those illustrated for dataprocessing system 200. Other components shown in FIG. 7 can be variedfrom the illustrative examples shown.

In one variant, a storage device in data processing system 200 may beany hardware apparatus that may store data. Memory 206, persistentstorage 208 and computer readable media 218 are examples of storagedevices in a tangible form. In another example, a bus system may be usedto implement communications fabric 202 and may be comprised of one ormore buses, such as a system bus or an input/output bus. In anothervariant, the bus system may be implemented using any type ofarchitecture that provides for a transfer of data between components ordevices attached to the bus system. Additionally, a communications unitmay include one or more devices used to transmit and receive data, suchas a modem or a network adapter. For example and without limitation,memory 206 or a cache such as that found in an interface and memorycontroller hub that may be present in communications fabric 202. Havingnow described various embodiments of the disclosure in detail asrequired by the patent statutes, those skilled in the art will recognizemodifications and substitutions to the specific embodiments disclosedherein. Such modifications are within the scope and intent of thepresent disclosure as defined in the following claims.

APPENDIX 1 Standard Mass Calculation Temps 15.1 17.2 20.1 C. 25.1 C.35.1 C. Pressure 5 32.73903 31.41732 29.92593 27.91992 25.06581 5.002532.77913 31.45191 29.95636 27.94483 25.0862 5.005 32.81855 31.4864929.98611 27.96975 25.10558 5.0075 32.85865 31.52176 30.01655 27.9946625.12497 5.01 32.89876 31.55635 30.01699 28.02027 25.14505 5.012532.93886 31.59162 30.07674 28.04518 25.16444 5.015 32.97897 31.6268930.10718 28.07079 25.18383 5.0175 33.01908 31.66148 30.13762 28.0957125.20391 5.02 33.05918 31.69675 30.16807 28.12062 25.2233 5.022533.09998 31.73202 30.19851 28.14623 25.24337 5.025 33.14078 31.7679930.22895 28.17183 25.26276 5.0275 33.18157 31.80326 30.26008 28.1967525.28284 5.03 33.22237 31.83854 30.29052 28.22236 25.30223 5.032533.26317 31.87450 30.32096 28.24796 25.32231 5.035 33.30397 31.9097830.35209 28.27288 25.3417 5.0375 33.34476 31.94574 30.38253 28.2984925.36178 5.04 33.38825 31.98171 30.41367 28.32409 25.38117 5.042533.42774 32.01698 30.44411 28.3497 25.40125 5.045 33.46923 32.0529530.47524 28.37531 25.42064 5.0475 33.51072 32.08960 30.50637 28.4009125.44072 5.05 33.55221 32.12557 30.5375 28.42652 25.4608 5.0252 33.5943932.16154 30.56795 28.45213 25.48019 5.055 33.63588 32.19819 30.5990828.47774 25.50027 5.0575 33.67806 32.23418 30.63021 28.50334 25.520355.06 33.72024 32.27082 30.66203 28.52895 25.53974 5.0625 33.7624232.30678 30.69317 28.55456 25.55982 5.065 33.8046 32.34344 30.724328.58086 25.5799 5.0675 33.8474 32.38010 30.75543 28.60647 25.59998 5.0733.88965 32.41675 30.78726 28.63207 25.62006 5.0725 33.93252 32.4541030.81839 28.65837 25.63945 5.075 33.97539 32.49076 30.85022 28.6839825.65953 5.0775 34.01826 32.52742 30.88204 28.71028 25.67961 5.0834.06113 32.56476 30.91317 28.73589 25.69969 5.0825 34.10469 32.6021130.945 28.76219 25.71977 5.085 34.14825 32.63877 30.97682 28.787825.73986 5.0875 34.19113 32.67612 31.00865 28.8141 25.75994 5.0934.23469 32.71347 31.04047 28.8404 25.78002 5.0925 34.27894 32.7515131.0723 28.866 25.8001 5.095 34.3225 32.78886 31.10412 28.8923 25.820185.0975 34.36676 32.82621 31.13595 28.9186 25.84026 5.1 34.41032 32.8642531.16846 28.9449 25.86035 5.1025 34.45457 32.90160 31.20029 28.971225.88043 5.105 34.49883 32.93964 31.2328 28.9975 25.90051 5.107534.54377 32.9768 31.26463 29.02638 25.92059 5.11 34.58802 33.0157231.29715 29.0501 25.94067 5.1125 34.63297 33.05376 31.32966 29.0764125.96145 5.115 34.67791 33.09180 31.36218 29.10271 25.98153 5.117534.72286 33.13053 31.39401 29.12901 26.00161 5.12 34.7678 33.685731.42652 29.15531 26.02169 5.1225 34.81344 33.20730 31.45904 29.182326.04178 5.125 34.85838 33.24603 31.49225 29.2085 26.06255 5.127534.90402 33.28476 31.52476 29.2349 26.08263 5.13 34.94965 33.3235031.55728 29.26189 26.10272 5.1325 34.99598 33.36223 31.5898 29.2881926.12349 5.135 35.04162 33.40096 31.62301 29.31519 26.14357 5.137535.08794 33.44038 31.65552 29.34149 26.16365 5.14 35.13427 33.4791231.68873 29.36848 26.18443 5.1425 35.1806 33.51854 31.72194 29.3947826.20451 5.145 35.22692 33.55796 31.75515 29.42177 26.22529 5.147535.27394 33.59738 31.78767 29.44877 26.24537 5.15 35.32027 33.6368131.82088 29.47576 26.26614 5.1525 35.36729 33.67623 31.85409 29.5020626.28623 5.155 35.415 33.71566 31.88798 29.52905 26.307 5.1575 35.4620133.75577 31.92119 29.55605 26.32709 5.16 35.50972 33.79519 31.954429.58304 26.34786 5.1625 35.55743 33.83531 31.9883 29.61003 26.368635.165 35.60514 33.87542 32.02151 29.63703 26.38872 5.1675 35.6528533.91554 32.5541 29.66402 26.40949 5.17 35.70125 33.95565 32.0886229.6917 26.42958 5.1725 35.74896 33.99646 32.12252 29.7187 26.450355.175 35.79736 34.03657 32.15642 29.74569 26.47113 5.1775 35.8464534.07738 32.19032 29.77269 26.4919 5.18 35.89485 34.11818 32.2242229.80037 26.51199 5.1825 35.94394 34.15899 32.25813 29.82736 26.532785.185 35.99303 34.19980 32.29203 29.35505 26.55354 5.1875 36.0421234.24060 32.32593 29.88204 26.57431 5.19 36.0919 34.28141 32.3605229.90973 26.59509 5.1925 36.141 34.32291 32.39442 29.93672 26.615175.195 36.19078 34.36371 32.42901 29.96441 26.63595 5.1975 36.2405634.40521 32.46292 29.99209 26.65673 5.2 36.29103 34.44671 32.4975130.01909 26.6775 5.2025 36.34151 34.48821 32.5321 30.04677 26.698285.205 36.39198 34.53039 32.56569 30.07445 26.71905 5.2075 36.4424534.57189 32.60128 30.10215 26.73983 5.21 36.49293 34.61408 32.6358830.12983 26.76061 5.2125 36.54409 34.65627 32.67047 30.15752 26.781385.215 36.59525 34.69777 32.70506 30.1852 26.80216 5.2175 36.6471134.74065 32.74035 30.21289 26.32294 5.22 36.69827 34.78284 32.7749430.24058 26.8444 5.2225 36.75013 34.82503 32.81022 30.26895 26.865185.225 36.80198 34.86791 32.84482 30.29664 26.88596 5.2275 36.8545334.91010 32.8801 30.32433 26.90673 5.23 36.90639 34.95298 32.9153930.3527 26.92751 5.2325 36.95893 34.99586 32.95067 30.38039 26.948985.235 37.01148 35.03943 32.98596 30.40808 26.96975 5.2375 37.0647235.08231 33.02124 30.43645 26.99053 5.24 37.11795 35.12588 33.0572230.46414 27.01131 5.2425 37.17119 35.16876 33.0925 30.49252 27.032785.245 37.22512 35.21233 33.12779 30.5209 27.05355 5.2475 37.2783535.25591 33.16376 30.54928 27.07433 5.25 37.33228 35.30017 33.1997430.57696 27.0958 5.2525 37.3869 35.34374 33.23502 30.60534 27.116585.255 37.44083 35.38800 33.271 30.63372 27.13805 5.2575 37.4954535.43157 33.30698 30.6621 27.15883 5.26 37.55076 35.47584 33.3429530.69048 27.18029 5.2625 37.60538 35.52079 33.37893 30.71886 27.201075.265 37.66069 35.56505 33.4156 30.74724 27.22254 5.2675 37.7166935.60932 33.45157 30.77561 27.24332 5.27 37.772 35.65427 33.4882430.80458 27.26479 5.2725 37.828 35.69923 33.52422 30.83306 27.285575.275 37.884 35.74418 33.56089 30.86144 27.30704 5.2775 37.9406935.78914 33.59756 30.89051 27.32851 5.28 37.99738 35.83478 33.6342230.91889 27.34928 5.2825 38.05408 35.87974 33.67089 30.94727 27.370755.285 38.11146 35.92538 33.70756 30.97634 27.39222 5.2875 38.1688435.97103 33.74423 31.00541 27.41369 5.29 38.22622 36.01667 33.780931.03379 27.43447 5.2925 38.2843 36.06301 33.81826 31.06286 27.455945.295 38.34237 36.10866 33.85493 31.09193 27.47741 5.2975 38.4011436.15499 33.89229 31.12101 27.49888 5.3 38.4599 36.20133 33.9296531.14939 27.52035 5.3025 38.51867 36.24767 33.96701 31.17846 27.541825.305 38.57812 36.29469 34.00437 31.20753 27.56329 5.3075 38.6375836.34103 34.04173 31.2366 27.58476 5.31 38.69703 36.38806 34.0790931.26567 27.60623 5.3125 38.75718 36.43509 34.11645 31.29543 27.62775.315 38.81732 36.48281 34.1545 31.32451 27.64917 5.3175 38.8781636.52983 34.19255 31.35358 27.87065 5.32 38.939 36.57755 34.2299131.38255 27.69212 5.3225 38.99984 36.62527 34.26796 31.41241 27.713595.325 39.06136 36.67299 34.30601 31.44149 27.73506 5.3275 39.1228936.72071 34.34407 31.47125 27.75653 5.33 39.18511 36.76843 34.3821231.50032 27.778 5.3325 39.24733 36.81684 34.42017 31.53008 27.799475.335 39.30955 36.86525 34.45891 31.55985 27.82163 5.3375 39.3724636.91366 34.49696 31.58892 27.84311 5.34 39.43606 36.96277 34.5357131.61868 27.86458 5.3425 39.49966 37.01118 34.57445 31.64845 27.886055.345 39.56326 37.06028 34.61319 31.67821 27.90821 5.3475 39.6275537.10938 34.65194 31.70798 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7.4625 124.6865 121.12462 115.3357 100.8046 58.770317.465 124.7006 121.13875 115.3636 100.8602 58.83408 7.4675 124.7148121.15979 115.3847 100.9158 58.89854 7.47 124.7289 121.17391 115.4057100.9644 58.963 7.4725 124.743 121.19495 115.4336 101.02 59.02678 7.475124.7572 121.20908 115.4547 101.0687 59.09124 7.4775 124.7713 121.22320115.4757 101.1242 59.15571 7.48 124.7854 121.24424 115.5036 101.172959.22086 7.4825 124.7996 121.25837 115.5247 101.2285 59.28533 7.485124.8137 121.27941 115.5457 101.2771 59.34979 7.4875 124.8278 121.29354115.5736 101.3327 59.41495 7.49 124.842 121.30766 115.5947 101.381459.48011 7.4925 124.8492 121.32870 115.6157 101.4369 59.54527 7.495124.8633 121.34283 115.6367 101.4856 59.61043 7.4975 124.8775 121.35695115.6647 101.5343 59.67558 7.5 124.8916 121.37800 115.6857 101.589859.74074 7.5025 124.9057 121.39212 115.7067 101.6385 59.80659 7.505124.9199 121.40625 115.7278 101.6872 59.87175 7.5075 124.934 121.42729115.7557 101.7358 59.9376 7.51 124.9481 121.44141 115.7767 101.791460.00346 7.5125 124.9623 121.46246 115.7978 101.8401 60.06931 7.515124.9764 121.47658 115.8188 101.8887 60.13516 7.5175 124.9905 121.49071115.8467 101.9374 60.20101 7.52 125.0047 121.51175 115.8678 101.98660.26756 7.5225 125.0188 121.52587 115.8888 102.0347 60.33341 7.525125.0329 121.54000 115.9098 102.0834 60.39996 7.5275 125.0471 121.56104115.9308 102.132 60.4665 7.53 125.0612 121.57517 115.9588 102.180760.53305 7.5325 125.0753 121.58929 115.9798 102.2293 60.59959 7.535125.0895 121.61033 116.0008 102.278 60.66614 7.5375 125.1036 121.62446116.0219 102.3267 60.73338 7.54 125.1177 121.63859 116.0429 102.375360.79993 7.5425 125.1249 121.65963 116.0639 102.424 60.86716 7.545125.1391 121.67375 116.0919 102.4727 60.9344 7.5475 125.1532 121.68788116.1129 102.5213 61.00095 7.55 125.1673 121.70892 116.1339 102.563161.06819 7.5525 125.1815 121.72305 116.155 102.6117 61.13612 7.555125.1956 121.73717 116.176 102.6604 61.20336 7.5575 125.2097 121.75130116.197 102.7091 61.2706 7.56 125.2239 121.77234 116.2181 102.750861.33854 7.5625 125.238 121.78647 116.2391 102.7995 61.40647 7.565125.2522 121.80059 116.267 102.8481 61.47371 7.5675 125.2663 121.82164116.2881 102.8899 61.54165 7.57 125.2804 121.83576 116.3091 102.938661.60958 7.5725 125.2876 121.84989 116.3301 102.9872 61.67821 7.575125.3018 121.86401 116.3512 103.029 61.74614 7.5775 125.3159 121.88506116.3722 103.0776 61.81407 7.58 125.33 121.89918 116.3932 103.119461.8827 7.5825 125.3442 121.91331 116.4142 103.1681 61.95133 7.585125.3583 121.93435 116.4353 103.2098 62.01996 7.5875 125.3724 121.94848116.4563 103.2585 62.08858 7.59 125.3866 121.96260 116.4773 103.300262.15721 7.5925 125.4007 121.97673 116.5053 103.3489 62.22584 7.595125.4148 121.99777 116.5263 103.3906 62.29447 7.5975 125.4221 122.01190116.5473 103.4324 62.36379 7.6 125.4362 122.02602 116.5684 103.481162.43242 7.6025 125.4503 122.04015 116.5894 103.5228 62.50174 7.605125.4645 122.06119 116.6104 103.5646 62.57106 7.6075 125.4786 122.07532116.6315 103.6132 62.64038 7.61 125.4927 122.08945 116.6525 103.65562.7097 7.6125 125.5069 122.10357 116.6735 103.6967 62.77903 7.615125.521 122.12462 116.6945 103.7385 62.84835 7.6175 125.5351 122.13874116.7156 103.7871 62.91836 7.62 125.5424 122.15287 116.7366 103.828962.98769 7.6225 125.5565 122.16699 116.7576 103.8707 63.0577 7.625125.5706 122.18804 116.7787 103.9124 63.12772 7.6275 125.5848 122.20216116.7997 103.9542 63.19704 7.63 125.5989 122.21629 116.8207 103.995963.26706 7.6325 125.613 122.23042 116.8418 104.0446 63.33777 7.635125.6272 122.25146 116.8628 104.0863 63.40778 7.6375 125.6344 122.26559116.8838 104.1281 63.4778 7.64 125.6485 122.27971 116.9049 104.169863.54851 7.6425 125.6626 122.29384 116.9259 104.2116 63.61853 7.645125.6768 122.30797 116.9469 104.2533 63.68924 7.6475 125.6909 122.32901116.9679 104.2951 63.75995 7.65 125.705 122.34314 116.9821 104.336863.83066 7.6525 125.7192 122.35726 117.0031 104.3786 63.90137 7.655125.7264. 122.37139 117.0241 104.4204 63.97208 7.6575 125.7405 122.38551117.0452 104.4621 64.04279 7.66 125.7547 122.40656 117.0662 104.496964.1135 7.6625 125.7688 122.42069 117.0872 104.5387 64.18491 7.665125.7829 122.43481 117.1083 104.5805 64.25562 7.6675 125.7971 122.44894117.1293 104.6222 64.32703 7.67 125.8043 122.46307 117.1503 104.66464.39843 7.6725 125.8184 122.48411 117.1713 104.7057 64.46914 7.675125.8326 122.49824 117.1924 104.7406 64.64055 7.6775 125.8467 122.51236117.2134 104.7823 64.61195 7.68 125.8608 122.52649 117.2275 104.824164.68405 7.6825 125.875 122.54062 117.2486 104.8658 64.75546 7.685125.8822 122.55474 117.2696 104.9007 64.82687 7.6875 125.8963 122.57579117.2906 104.9424 64.89896 7.69 125.9104 122.58991 117.3117 104.984264.97037 7.6925 125.9246 122.60404 117.3327 105.0259 65.04247 7.695125.9387 122.61817 117.3537 105.0608 65.11457 7.6975 125.9529 122.63229117.3747 105.1025 65.18598 7.7 125.9601 122.64642 117.3889 105.144365.25808 7.7025 125.9742 122.66747 117.4099 105.1791 65.33018 7.705125.9883 122.68159 117.4309 105.2209 65.40228 7.7075 126.0025 122.69572117.452 105.2557 65.47507 7.71 126.0166 122.70985 117.473 105.297565.54718 7.7125 126.0238 122.72397 117.494 105.3323 65.61928 7.715126.038 122.73810 117.5081 105.3741 65.69207 7.7175 126.0521 122.75223117.5292 105.4089 65.76417 7.72 126.0662 122.77327 117.5502 105.450765.83697 7.7225 126.0804 122.78740 117.5712 105.4855 65.90976 7.725126.0945 122.80153 117.5923 105.5273 65.98187 7.7275 126.1017 122.81565117.6133 105.5621 66.05466 7.73 126.1158 122.82978 117.6274 105.603966.12746 7.7325 126.13 122.84391 117.6484 105.6387 66.20025 7.735126.1441 122.85803 117.6695 105.6805 66.27305 7.7375 126.1513 122.87216117.6905 105.7153 66.34654 7.74 126.1655 122.89321 117.7115 105.750166.41934 7.7425 126.1796 122.90733 117.7257 105.7919 66.49213 7.745126.1937 122.92146 117.7467 105.8267 66.56562 7.7475 126.2079 122.93559117.7677 105.8616 66.83842 7.75 126.2151 122.94971 117.7888 105.903366.71191 7.7525 126.2292 122.96384 117.8029 105.9382 66.7854 7.755126.2434 122.97797 117.8239 105.973 66.8582 7.7575 126.2575 122.99210117.8449 106.0148 66.93169 7.76 126.2716 123.00622 117.866 106.049667.00518 7.7625 126.2788 123.02727 117.887 106.0845 67.07868 7.765126.293 123.04140 117.9011 106.1193 67.15217 7.7675 126.3071 123.05552117.9222 106.1611 67.22566 7.77 126.3213 123.06965 117.9432 106.195967.29915 7.7725 126.3285 123.08378 117.9573 106.2308 67.37265 7.775126.3426 123.09790 117.9783 106.2656 67.44683 7.7775 126.3567 123.11203117.9994 106.3004 67.52033 7.78 126.3709 123.12616 118.0204 106.342267.59382 7.7825 126.385 123.14029 118.0345 106.377 67.66801 7.785126.3922 123.15441 118.0556 106.4119 67.7415 7.7875 126.4064 123.16854118.0766 106.4467 67.81569 7.79 126.4205 123.18267 118.0976 106.481667.88918 7.7925 126.4346 123.20371 118.1117 106.5164 67.96337 7.795126.4418 123.21784 118.1328 106.5513 68.03756 7.7975 126.456 123.23197118.1538 106.5861 68.11175 7.8 126.4701 123.24610 118.1679 106.620968.18524 7.8025 126.4843 123.26022 118.189 106.6558 68.25943 7.805126.4915 123.27435 118.21 106.6906 68.33362 7.8075 126.5056 123.28848118.2241 106.7255 68.40781 7.81 126.5197 123.30261 118.2451 106.760368.482 7.8125 126.5339 123.31673 118.2662 106.7952 68.55619 7.815126.5411 123.33086 118.2803 106.83 63.63038 7.8175 126.5552 123.34499118.3013 106.8649 68.70526 7.82 126.5694 123.35912 118.3224 106.899768.77945 7.8225 126.5835 123.37324 118.3365 106.9345 68.85364 7.825126.5907 123.38737 118.3575 106.9694 68.92784 7.8275 126.6048 123.40150118.3785 107.0042 69.00272 7.83 126.619 123.41563 118.3927 107.039169.07691 7.8325 126.6331 123.42976 118.4137 107.0739 69.15111 7.835126.6403 123.44388 118.4347 107.1088 69.22876 7.8375 126.6545 123.45801118.4488 107.1367 69.29811 7.84 126.6686 123.47214 118.4699 107.171569.37438 7.8425 126.6758 123.49319 118.4909 107.2064 69.45065 7.845126.69 123.50731 118.505 107.2412 69.52692 7.8475 126.7041 123.52144118.5261 107.2761 69.59627 7.85 126.7182 123.53557 118.5402 107.310969.67254 7.8525 126.7254 123.54970 118.5612 107.3389 69.74881 7.855126.7396 123.56382 118.5822 107.3737 69.82508 7.8575 126.7537 123.57795118.5964 107.4086 69.89443 7.86 126.7678 123.59208 118.6174 107.443469.9707 7.8625 126.7751 123.60621 118.6384 107.4713 70.04698 7.865126.7892 123.62034 118.6526 107.5062 70.12325 7.8675 126.8033 123.63446118.6736 107.541 70.1926 7.87 126.8106 123.64859 118.6877 107.575970.26888 7.8725 126.8247 123.66272 118.7087 107.6038 70.34515 7.875126.8388 123.67685 118.7298 107.6386 70.42142 7.8775 126.853 123.69098118.7439 107.6735 70.4977 7.88 126.8602 123.70510 118.7649 107.701470.56705 7.8825 126.8743 123.71923 118.779 107.7363 70.64333 7.885126.8884 123.73336 118.8001 107.7711 70.7196 7.8875 126.8957 123.74749118.8142 107.799 70.79588 7.89 126.9098 123.76162 118.8352 107.833970.87215 7.8925 126.9239 123.77574 118.8563 107.8618 70.94151 7.895126.9311 123.78987 118.8704 107.8967 71.01779 7.8975 126.9453 123.80400118.8914 107.9315 71.09406 7.9 126.9594 123.81813 118.9055 107.959471.17034 7.9025 126.9736 123.83226 118.9266 107.9943 71.2397 7.905126.9808 123.84638 118.9407 108.0222 71.31598 7.9075 126.9949 123.86051118.9617 108.0571 71.39226 7.91 127.009 123.87464 118.9758 108.08571.46853 7.9125 127.0163 123.88877 118.9969 108.1198 71.54481 7.915127.0304 123.90290 119.011 108.1547 71.61417 7.9175 127.0445 123.91011119.032 108.1826 71.69045 7.92 127.0517 123.92423 119.0531 108.217571.76673 7.9225 127.0659 123.93836 119.0672 108.2454 71.84301 7.925127.08 123.95249 119.0882 108.2733 71.91237 7.9275 127.0872 123.96662119.1023 108.3082 71.98865 7.93 127.1014 123.98075 119.1234 108.336172.06493 7.9325 127.1155 123.99487 119.1375 108.371 72.14121 7.935127.1227 124.00900 119.1585 108.3989 72.2175 7.9375 127.1369 124.02313119.1726 108.4337 72.28686 7.94 127.151 124.03726 119.1937 108.461772.36314 7.9425 127.1582 124.05139 119.2078 108.4965 72.43942 7.945127.1723 124.06552 119.2288 108.5245 72.51571 7.9475 127.1865 124.07964119.2429 108.5524 72.58507 7.95 127.1937 124.09377 119.264 108.587272.66135 7.9525 127.2078 124.10790 119.2781 108.6152 72.73764 7.955127.222 124.12203 119.2991 108.6431 72.81392 7.9575 127.2292 124.13616119.3133 108.678 72.88329 7.96 127.2433 124.15029 119.3343 108.705972.95957 7.9625 127.2575 124.16441 119.3484 108.7338 73.03586 7.965127.2647 124.17854 119.3625 108.7687 73.11214 7.9675 127.2788 124.18575119.3836 108.7966 73.18151 7.97 127.2929 124.19988 119.3977 108.824573.25779 7.9725 127.3002 124.21401 119.4187 108.8594 73.33408 7.975127.3143 124.22814 119.4328 108.8873 73.41037 7.9775 127.3284 124.24227119.4539 108.9152 73.47973 7.98 127.3356 124.25639 119.468 108.943273.55602 7.9825 127.3498 124.27052 119.489 108.978 73.63231 7.985127.3639 124.28465 119.5031 109.006 73.7086 7.9875 127.3711 124.29878119.5242 109.0339 73.77797 7.99 127.3853 124.31291 119.5383 109.061873.85425 7.9925 127.3994 124.32704 119.5524 109.0967 73.93054 7.995127.4068 124.34117 119.5735 109.1246 73.99991 7.9975 127.4208 124.35530119.5876 109.1525 74.0762 8 127.4349 124.36250 119.8086 109.180574.15249 8.0025 127.4421 124.37663 119.6227 109.2084 74.22186 8.005127.4562 124.39076 119.6438 109.2433 74.29815 8.0075 127.4704 124.40489119.6579 109.2712 74.37444 8.01 127.4776 124.41902 119.672 109.299174.44382 8.0125 127.4917 124.43315 119.693 109.3271 74.52011 8.015127.4989 124.44728 119.7072 109.355 74.5964 8.0175 127.5131 124.46140119.7282 109.3829 74.66577 8.02 127.5272 124.47553 119.7423 109.410974.74206 8.0225 127.5344 124.48966 119.7564 109.4457 74.81836 8.025127.5486 124.49687 119.7775 109.4737 74.88773 8.0275 127.5627 124.51100119.7916 109.5016 74.96402 8.03 127.5699 124.52513 119.8126 109.529575.0334 8.0325 127.5841 124.53926 119.8267 109.5575 75.10969 8.035127.5913 124.55339 119.8409 109.5854 75.18599 8.0375 127.6054 124.56752119.8619 109.6133 75.25536 8.04 127.6195 124.58164 119.876 109.641375.33165 8.0425 127.6268 124.59577 119.897 109.6692 75.40103 8.045127.6409 124.60990 119.9112 109.6971 75.47733 8.0475 127.655 124.61711119.9253 109.7251 75.55362 8.05 127.6622 124.63124 119.9463 109.75375.623 8.0525 127.6764 124.64537 119.9604 109.7809 75.69929 8.055127.6836 124.65950 119.9746 109.8089 75.76867 8.0575 127.6977 124.67363119.9956 109.8368 75.84497 8.08 127.7119 124.68776 120.0097 109.864775.91435 8.0625 127.7191 124.70188 120.0308 109.8927 75.99064 8.065127.7332 124.70909 120.0449 109.9206 76.06002 8.0675 127.7404 124.72322120.059 109.9485 76.13632 8.07 127.7546 124.73735 120.08 109.976576.2057 8.0725 127.7687 124.75148 120.0941 110.0044 76.282 8.075127.7759 124.76561 120.1083 110.0323 76.35138 8.0775 127.7901 124.77974120.1293 110.0603 76.42768 8.08 127.7973 124.79387 120.1434 110.088276.49706 8.0825 127.8114 124.80108 120.1575 110.1162 76.57336 8.085127.8256 124.81521 120.1786 110.1441 76.64274 8.0875 127.8328 124.82933120.1927 110.172 76.71212 8.09 127.8469 124.84346 120.2068 110.19376.78842 8.0925 127.8541 124.85759 120.2279 110.221 76.8578 8.095127.8683 124.87172 120.242 110.2489 76.9341 8.0975 127.8824 124.88585120.2561 110.2769 77.00348 8.1 127.8896 124.89306 120.2771 110.304877.07287 8.1025 127.9037 124.90719 120.2912 110.3327 77.14917 8.105127.911 124.92132 120.3054 110.3607 77.21855 8.1075 127.9251 124.93545120.3195 110.3886 77.29486 8.11 127.9392 124.94958 120.3405 110.409677.36424 8.1125 127.9464 124.96371 120.3546 110.4375 77.43362 8.115127.9606 124.97091 120.3688 110.4655 77.50993 8.1175 127.9678 124.98504120.3898 110.4934 77.57931 8.12 127.9819 124.99917 120.4039 110.521477.64869 8.1225 127.9961 125.01330 120.418 110.5424 77.71808 8.125128.0033 125.02743 120.4391 110.5703 77.79439 8.1275 128.0174 125.03464120.4532 110.5983 77.86377 8.13 128.0246 125.04877 120.4673 110.626277.93316 8.1325 128.0388 125.06290 120.4814 110.6541 78.00946 8.135128.046 125.07703 120.5025 110.6751 78.07885 8.1375 128.0601 125.09116120.5166 110.7031 78.14824 8.14 128.0743 125.10529 120.5307 110.73178.21762 8.1425 128.0816 125.11250 120.5518 110.759 78.28701 8.145128.0956 125.12663 120.5659 110.78 78.36332 8.1475 128.1028 125.14076120.58 110.8079 78.43271 8.15 128.117 125.15488 120.5941 110.835878.50209 8.1525 128.1242 125.16901 120.6151 110.8638 78.57148 8.155128.1383 125.17622 120.6293 110.8848 78.64087 8.1575 128.1525 125.19035120.6434 110.9127 78.71026 8.16 128.1597 125.20448 120.6575 110.940778.78657 8.1625 128.1738 125.21861 120.6785 110.9617 78.85596 8.165128.181 125.23274 120.6927 110.9896 78.92535 8.1675 128.1952 125.23995120.7068 111.0176 78.99474 8.17 128.2024 125.25408 120.7209 111.038679.06413 8.1725 128.2165 125.26821 120.7419 111.0665 79.13352 8.175128.2237 125.28234 120.7561 111.0945 79.20291 8.1775 128.2379 125.29647120.7702 111.1155 79.2723 8.18 128.252 125.30368 120.7843 111.143479.34169 8.1825 128.2592 125.31781 120.7984 111.1714 79.41108 8.185128.2733 125.33194 120.8195 111.1924 79.48048 8.1875 128.2806 125.34607120.8336 111.2203 79.54987 8.19 128.2947 125.36019 120.8477 111.241379.61926 8.1925 128.3019 125.36740 120.8618 111.2693 79.68865 8.195128.3161 125.38153 120.8829 111.2972 79.75805 8.1975 128.3233 125.39566120.897 111.3182 79.82744 8.2 128.3374 125.40979 120.9111 111.346279.89683 8.2025 128.3515 125.41700 120.9252 111.3672 79.96623 8.205128.3588 125.43113 120.9393 111.3951 80.03562 8.2075 128.3729 125.44526120.9604 111.4231 80.10502 8.21 128.3801 125.45939 120.9745 111.444180.16749 8.2125 128.3942 125.47352 120.9886 111.472 80.23689 8.215128.4015 125.48073 121.0027 111.4931 80.30628 8.2175 128.4156 125.49486121.0169 111.521 80.37568 8.22 128.4228 125.50899 121.0379 111.54280.44507 8.2225 128.4369 125.52312 121.052 111.57 80.51447 8.225128.4442 125.53033 121.0661 111.591 80.57695 8.2275 128.4583 125.54446121.0803 111.6189 80.64634 8.23 128.4655 125.55859 121.0944 111.639980.71574 8.2325 128.4797 125.57272 121.1154 111.6679 80.78514 8.235128.4938 125.57992 121.1295 111.6958 80.84761 8.2375 128.501 125.59405121.1437 111.7168 80.91701 8.24 128.5151 125.60818 121.1578 111.744880.98641 8.2425 128.5224 125.62231 121.1719 111.7658 81.05581 8.245128.5365 125.62952 121.186 111.7868 81.11829 8.2475 128.5437 125.64365121.2071 111.8148 81.18768 8.25 128.5578 125.65778 121.2212 111.835881.25708 8.2525 128.5651 125.67191 121.2353 111.8637 81.31956 8.255128.5792 125.67912 121.2494 111.8847 81.38896 8.2575 128.5864 125.69325121.2635 111.9127 81.45144 8.26 128.6005 125.70738 121.2777 111.933781.52084 8.2625 128.6078 125.72151 121.2987 111.9616 81.59024 8.265128.6219 125.72872 121.3128 111.9827 81.65272 8.2675 128.6291 125.74285121.3269 112.0106 81.72212 8.27 128.6433 125.75698 121.3411 112.031681.7846 8.2725 128.6505 125.77111 121.3552 112.0526 81.85401 8.275128.6646 125.77832 121.3693 112.0806 81.91649 8.2775 128.6718 125.79245121.3903 112.1016 81.98589 8.28 128.686 125.80658 121.4045 112.129582.04837 8.2825 128.6932 125.81379 121.4186 112.1506 82.11777 8.285128.7073 125.82792 121.4327 112.1716 82.18025 8.2875 128.7145 125.84205121.4468 112.1995 82.24966 8.29 128.7287 125.85618 121.4609 112.220582.31214 8.2925 128.7359 125.86338 121.4751 112.2416 82.38154 8.295128.75 125.87751 121.4892 112.2695 82.44403 8.2975 128.7572 125.89164121.5102 112.2905 82.50651 8.3 128.7714 125.90578 121.5243 112.318582.57592 8.3025 128.7786 125.91298 121.5385 112.3395 82.6384 8.305128.7927 125.92711 121.5526 112.3605 82.70088 8.3075 128.7999 125.94124121.5667 112.3885 82.77029 8.31 128.8141 125.94845 121.5808 112.409582.83277 8.3125 128.8213 125.96268 121.5949 112.4305 82.89526 8.315128.8354 125.97671 121.6091 112.4584 82.95774 8.3175 128.8426 125.98392121.6232 112.4795 83.02715 8.32 128.8568 125.99805 121.6442 112.500583.08963 8.3225 128.864 126.01218 121.6583 112.5284 83.15212 8.325128.8781 126.02631 121.6725 112.5494 83.21461 8.3275 128.8853 126.03352121.6866 112.5705 83.28401 8.33 128.8995 126.04765 121.7007 112.591583.3465 8.3325 128.9067 126.06178 121.7148 112.6194 83.40899 8.335128.9208 126.06899 121.7289 112.6405 83.47147 8.3375 128.928 126.08312121.7431 112.6615 83.53396 8.34 128.9422 126.09725 121.7572 112.689483.59645 8.3425 128.9494 126.11138 121.7713 112.7104 83.65894 8.345128.9635 126.11859 121.7923 112.7315 83.72834 8.3475 128.9707 126.13272121.8065 112.7525 83.79083 8.35 128.9849 126.14685 121.8206 112.780483.85332 8.3525 128.9921 126.15406 121.8347 112.8015 83.91581 8.355129.0062 126.16819 121.8488 112.8225 83.9783 8.3575 129.0134 126.18232121.8629 112.8435 84.04079 8.36 129.0276 126.18953 121.8771 112.864584.10328 8.3625 129.0348 126.20366 121.8912 112.8925 84.16577 8.365129.0489 126.21779 121.9053 112.9135 84.22826 8.3675 129.0561 126.22500121.9194 112.9345 84.29075 8.37 129.0703 126.23913 121.9336 112.955584.35324 8.3725 129.0775 126.25326 121.9477 112.9835 84.40881 8.375129.0916 126.26046 121.9618 113.0045 84.4713 8.3775 129.0988 126.27460121.9759 113.0255 84.53379 8.38 129.1061 126.28873 121.99 113.046584.59628 8.3825 129.1202 126.29593 122.0111 113.0676 84.65877 8.385129.1274 126.31006 122.0252 113.0886 84.72126 8.3875 129.1416 126.32419122.0393 113.1165 84.78375 8.39 129.1488 126.33140 122.0534 113.137684.83932 8.3925 129.1629 126.34553 122.0676 113.1586 84.90182 8.395129.1701 126.35966 122.0817 113.1796 84.96431 8.3975 129.1843 126.36687122.0958 113.2006 85.0268 8.4 129.1915 126.38100 122.1099 113.221785.08237 8.4025 129.2056 126.39513 122.124 113.2496 85.14487 8.405129.2128 126.40234 122.1382 113.2706 85.20736 8.4075 129.227 126.41647122.1523 113.2916 85.26986 8.41 129.2342 126.43060 122.1664 113.312785.32543 8.4125 129.2414 126.43781 122.1805 113.3337 85.38792 8.415129.2555 126.45194 122.1947 113.3547 85.45042 8.4175 129.2627 126.46607122.2088 113.3757 85.50599 8.42 129.2769 126.47328 122.2229 113.396885.56849 8.4225 129.2841 126.48741 122.237 113.4247 85.62406 8.425129.2982 126.50154 122.2511 113.4457 85.68656 8.4275 129.3054 126.50875122.2653 113.4668 85.74213 8.43 129.3196 126.52288 122.2794 113.487885.80462 8.4325 129.3268 126.53701 122.2935 113.5088 85.86712 8.435129.3409 126.54422 122.3076 113.5298 85.92269 8.4375 129.3481 126.55835122.3217 113.5508 85.98519 8.44 129.3554 126.57248 122.3359 113.571986.04077 8.4425 129.3695 126.57969 122.35 113.5929 86.10326 8.445129.3767 126.59382 122.3641 113.6139 86.15884 8.4475 129.3908 126.60103122.3782 113.6349 86.21441 8.45 129.3981 126.61516 122.3923 113.65686.27691 8.4525 129.4122 126.62929 122.4065 113.6839 86.33249 8.455129.4194 126.63650 122.4206 113.7049 86.39499 8.4575 129.4336 126.65063122.4347 113.726 86.45056 8.46 129.4408 126.66476 122.4488 113.74786.50614 8.4625 129.448 126.67197 122.463 113.768 86.56864 8.465129.4621 126.68610 122.4771 113.789 86.62422 8.4675 129.4693 126.70023122.4912 113.8101 86.67979 8.47 129.4835 126.70744 122.5053 113.831186.74229 8.4725 129.4907 126.72157 122.5194 113.8521 86.79787 8.475129.5048 126.72878 122.5336 113.8731 86.85345 8.4775 129.512 126.74291122.5477 113.8942 86.90903 8.48 129.5192 126.75704 122.5618 113.915286.97153 8.4825 129.5334 126.76425 122.5759 113.9362 87.02711 8.485129.5406 126.77838 122.50 113.9572 87.08268 8.4875 129.5547 126.79251122.6042 113.9783 87.13826 8.49 129.562 126.79972 122.6183 113.999387.19384 8.4925 129.5761 126.81385 122.6324 114.0203 87.25634 8.495129.5833 126.82105 122.6465 114.0413 87.31192 8.4975 129.5905 126.83519122.6607 114.0624 87.3675 8.5 129.6047 126.84932 122.6748 114.083487.42308 8.5025 129.6119 126.85652 122.6889 114.1044 87.47866 8.505129.626 126.87066 122.703 114.1254 87.53424 8.5075 129.6332 126.87786122.7171 114.1465 87.58983 8.51 129.6474 126.89199 122.7313 114.167587.64541 8.5125 129.6546 126.90613 122.7454 114.1816 87.70099 8.515129.6618 126.91333 122.7596 114.2026 87.75657 8.5175 129.6759 126.92746122.7667 114.2236 87.81215 8.52 129.6831 126.94160 122.7808 114.244787.86773 8.5225 129.6973 126.94880 122.7949 114.2657 87.92331 8.525129.7045 128.96293 122.8091 114.2867 87.9789 8.5275 129.7117 126.97014122.8232 114.3077 88.03448 8.53 129.7258 126.98427 122.8373 114.328888.09006 8.5325 129.7331 126.99840 122.8514 114.3498 88.14564 8.535129.7472 127.00561 122.8656 114.3708 88.20123 8.5375 129.7544 127.01974122.8797 114.3918 88.25681 8.54 129.7616 127.02695 122.8938 114.412988.30547 8.5425 129.7758 127.04108 122.9079 114.4339 88.36105 8.545129.783 127.04829 122.922 114.448 88.41664 8.5475 129.7971 127.06242122.9362 114.469 88.47222 8.55 129.8043 127.07655 122.9503 114.490188.52781 8.5525 129.8185 127.08376 122.9644 114.5111 88.57647 8.555129.8257 127.09789 122.9785 114.5321 88.63205 8.5575 129.8329 127.10510122.9857 114.5531 88.68764 8.56 129.847 127.11923 122.9999 114.574288.74322 8.5625 129.8542 127.13336 123.014 114.5952 88.79188 8.565129.8684 127.14057 123.0281 114.6093 88.84747 8.5675 129.8756 127.15470123.0422 114.6303 88.90306 8.57 129.8828 127.16191 123.0563 114.651388.95172 8.5725 129.8969 127.17604 123.0705 114.6724 89.0073 8.575129.9042 127.18325 123.0846 114.6934 89.06289 8.5775 129.9114 127.19738123.0987 114.7144 89.11155 8.58 129.9255 127.21151 123.1128 114.735589.16714 8.5825 129.9327 127.21872 123.1269 114.7496 89.22273 8.585129.9469 127.23285 123.1341 114.7706 89.27139 8.5875 129.9541 127.24006123.1483 114.7916 89.32698 8.59 129.9613 127.25419 123.1624 114.812689.37564 8.5925 129.9754 127.26832 123.1765 114.8337 89.43123 8.595129.9826 127.27553 123.1906 114.8478 89.4799 8.5975 129.9968 127.28966123.2048 114.8688 89.53548 8.6 130.004 127.29687 123.2189 114.889889.58415 8.6025 130.0112 127.31100 123.233 114.9108 89.63974 8.605130.0253 127.31821 123.2471 114.9319 89.6884 8.6075 130.0326 127.33234123.2543 114.9529 89.74399 8.61 130.0467 127.33955 123.2684 114.96789.79266 8.6125 130.0539 127.35368 123.2826 114.988 89.84825 8.615130.0611 127.36781 123.2967 115.0091 89.89691 8.6175 130.0753 127.37502123.3108 115.0301 89.94558 8.62 130.0825 127.38915 123.3249 115.044290.00117 8.6225 130.0897 127.39636 123.3391 115.0652 90.04984 8.625130.1038 127.41049 123.3532 115.0862 90.0985 8.6275 130.111 127.41769123.3673 115.1073 90.15409 8.63 130.1252 127.43183 123.3745 115.128390.20276 8.6325 130.1324 127.43903 123.3886 115.1424 90.25143 8.635130.1396 127.45317 123.4027 115.1634 90.30702 8.6375 130.1537 127.46730123.4169 115.1845 90.35569 8.64 130.1609 127.47450 123.431 115.205590.40436 8.6425 130.1682 127.48864 123.4451 115.2196 90.45302 8.645130.1823 127.49584 123.4592 115.2406 90.50862 8.6475 130.1895 127.50997123.4664 115.2617 90.55729 8.65 130.2036 127.51718 123.4806 115.282790.60595 8.6525 130.2109 127.53131 123.4947 115.2968 90.65462 8.655130.2181 127.53852 123.5088 115.3178 90.70329 8.6575 130.2322 127.55265123.5229 115.3388 90.75196 8.66 130.2394 127.55986 123.537 115.352990.80755 8.6625 130.2466 127.57399 123.5512 115.374 90.85622 8.665130.2608 127.58812 123.5584 115.395 90.90489 8.6675 130.268 127.59533123.5725 115.416 90.95356 8.67 130.2752 127.60946 123.5866 115.430191.00223 8.6725 130.2893 127.61667 123.6007 115.4512 91.0509 8.675130.2966 127.63080 123.6149 115.4722 91.09958 8.6775 130.3107 127.63801123.629 115.4863 91.14825 8.68 130.3179 127.65214 123.6362 115.507391.19692 8.6825 130.3251 127.65935 123.6503 115.5284 91.24559 8.685130.3393 127.67348 123.6644 115.5425 91.29426 8.6875 130.3465 127.68069123.6785 115.5635 91.34293 8.69 130.3537 127.69482 123.6927 115.584591.3916 8.6925 130.3678 127.70203 123.7068 115.6055 91.44027 8.695130.375 127.71616 123.7209 115.6196 91.48895 8.6975 130.3823 127.72337123.7281 115.6407 91.53762 8.7 130.3964 127.73750 123.7422 115.661791.58629 8.7025 130.4036 127.75163 123.7564 115.6758 91.63496 8.705130.4108 127.75884 123.7705 115.6968 91.68364 8.7075 130.425 127.77297123.7846 115.7179 91.72538 8.71 130.4322 127.78018 123.7918 115.73291.77406 8.7125 130.4463 127.79431 123.8059 115.753 91.82273 8.715130.4535 127.80152 123.8201 115.7671 91.8714 8.7175 130.4607 127.81565123.8342 115.7881 91.92008 8.72 130.4749 127.82286 123.8483 115.809291.96875 8.7225 130.4821 127.83699 123.8624 115.8233 92.0105 8.725130.4893 127.84419 123.8696 115.8443 92.05918 8.7275 130.5034 127.85833123.8837 115.8653 92.10785 8.73 130.5106 127.86553 123.8979 115.879492.15653 8.7325 130.5179 127.87967 123.912 115.9005 92.19828 8.735130.532 127.88687 123.9261 115.9215 92.24695 8.7375 130.5392 127.90101123.9333 115.9356 92.29563 8.74 130.5464 127.90821 123.9474 115.956692.33738 8.7425 130.5606 127.92234 123.9616 115.9707 92.38605 8.745130.5678 127.92955 123.9757 115.9918 92.43473 8.7475 130.575 127.94368123.9898 116.0128 92.47648 8.75 130.5891 127.95089 123.997 116.026992.52515 8.7525 130.5963 127.96502 124.0111 116.0479 92.57383 8.755130.6036 127.97223 124.0252 116.062 92.61558 8.7575 130.6177 127.98636124.0394 116.0831 92.66426 8.76 130.6249 127.99357 124.0535 116.104192.70601 8.7625 130.6321 128.00770 124.0607 116.1182 92.75469 8.765130.6463 128.01491 124.0748 116.1392 92.80336 8.7675 130.6535 128.02904124.0889 116.1533 92.84512 8.77 130.6607 128.03625 124.1031 116.174492.89379 8.7725 130.6748 128.05038 124.1103 116.1954 92.93555 8.775130.682 128.05759 124.1244 116.2095 92.98423 8.7775 130.6892 128.07172124.1385 116.2305 93.02598 8.78 130.7034 128.07893 124.1526 116.244693.07466 8.7825 130.7106 128.09306 124.1668 116.2657 93.11641 8.785130.7178 128.10027 124.174 116.2798 93.16509 8.7875 130.7319 128.11440124.1881 116.3008 93.20684 8.79 130.7392 128.12161 124.2022 116.314993.2486 8.7925 130.7464 128.13574 124.2163 116.3359 93.29728 8.795130.7605 128.14294 124.2235 116.357 93.33903 8.7975 130.7677 128.15708124.2376 116.3711 93.38771 8.8 130.7749 128.16428 124.2518 116.392193.42946 8.8025 130.7891 128.17842 124.2659 116.4062 93.47122 8.805130.7963 128.18562 124.28 116.4273 93.5199 8.8075 130.8035 128.19283124.2872 116.4414 93.56165 8.81 130.8176 128.20696 124.3013 116.462493.60341 8.8125 130.8248 128.21417 124.3155 116.4765 93.65209 8.815130.8321 128.22830 124.3296 116.4975 93.69384 8.8175 130.8393 128.23551124.3368 116.5116 93.7356 8.82 130.8534 128.24964 124.3509 116.532793.78428 8.8225 130.8606 128.25685 124.365 116.5468 93.82604 8.825130.8678 128.27098 124.3792 116.5678 93.86779 8.8275 130.882 128.27819124.3864 116.5819 93.90955 8.83 130.8892 128.29232 124.4005 116.602993.95823 8.8325 130.8964 128.29953 124.4146 116.617 93.99999 8.835130.9105 128.31366 124.4287 116.6381 94.04174 8.8375 130.9178 128.32087124.4359 116.6522 94.0835 8.84 130.925 128.33500 124.45 116.673294.12526 8.8425 130.9391 128.34221 124.4642 116.6873 94.17394 8.845130.9463 128.35634 124.4783 116.7084 94.2157 8.8475 130.9535 128.36354124.4855 116.7225 94.25746 8.85 130.9607 128.37075 124.4996 116.743594.29921 8.8525 130.9749 128.38488 124.5137 116.7576 94.34097 8.855130.9821 128.39209 124.5279 116.7786 94.38273 8.8575 130.9893 128.40622124.5351 116.7927 94.42449 8.86 131.0034 128.41343 124.5492 116.813894.46625 8.8625 131.0107 128.42756 124.5633 116.8279 94.508 8.865131.0179 128.43477 124.5705 116.8489 94.55669 8.8675 131.032 128.44890124.5848 116.863 94.59845 8.87 131.0392 128.45611 124.5988 116.88494.64021 8.8725 131.0464 128.47024 124.6129 116.8982 94.68197 8.875131.0536 128.47745 124.6201 116.9192 94.72372 8.8775 131.0678 128.48466124.6342 116.9333 94.76548 8.88 131.075 128.49879 124.6483 116.947494.80724 8.8825 131.0822 128.50599 124.6624 116.9684 94.849 8.885131.0963 128.52013 124.6696 116.9825 94.89076 8.8875 131.1036 128.52733124.6838 117.0036 94.93252 8.89 131.1108 128.54147 124.6979 117.017794.96736 8.8925 131.1249 128.54867 124.7051 117.0387 95.00912 8.895131.1321 128.56281 124.7192 117.0528 95.05088 8.8975 131.1393 128.57001124.7333 117.0669 95.09264 8.9 131.1465 128.58415 124.7475 117.08895.1344 8.9025 131.1607 128.59135 124.7647 117.1021 95.17616 8.905131.1679 128.59856 124.7688 117.1231 95.21792 8.9075 131.1751 128.61269124.7829 117.1372 95.25968 8.91 131.1892 128.61990 124.7901 117.158295.30144 8.9125 131.1965 128.63403 124.8042 117.1723 95.33628 8.915131.2037 128.64124 124.8184 117.1865 95.37804 8.9175 131.2109 128.65537124.8256 117.2075 95.4198 8.92 131.225 128.66258 124.8397 117.221695.46157 8.9225 131.2322 128.66978 124.8538 117.2426 95.50333 8.925131.2395 128.68392 124.8679 117.2567 95.54509 8.9275 131.2536 128.69112124.8751 117.2708 95.57993 8.93 131.2608 128.70526 124.8893 117.291995.62169 8.9325 131.268 128.71246 124.9034 117.306 95.66345 8.935131.2752 128.72660 124.9106 117.327 95.70521 8.9375 131.2894 128.73380124.9247 117.3411 95.74005 8.94 131.2966 128.74101 124.9388 117.355295.78181 8.9425 131.3038 128.75514 124.946 117.3763 95.82358 8.945131.3179 128.76235 124.9601 117.3904 95.85842 8.9475 131.3251 128.77648124.9743 117.4114 95.90018 8.95 131.3324 128.78369 124.9884 117.425595.94194 8.9525 131.3396 128.79782 124.9956 117.4396 95.97678 8.955131.3537 128.80503 125.0097 117.4607 96.01854 8.9575 131.3609 128.81223125.0238 117.4748 96.06031 8.96 131.3681 128.82637 125.031 117.488996.09515 8.9625 131.3753 128.83357 125.0452 117.5099 96.13691 8.965131.3895 128.84771 125.0593 117.524 96.17868 8.9675 131.3967 128.85491125.0665 117.5381 96.21352 8.97 131.4039 128.86905 125.0806 117.559296.25528 8.9725 131.418 128.87625 125.0947 117.5733 96.29012 8.975131.4253 128.88346 125.1019 117.5874 96.33188 8.9775 131.4325 128.89759125.1161 117.6084 96.36672 8.98 131.4397 128.90480 125.1302 117.622596.40849 8.9825 131.4538 128.91893 125.1374 117.6435 96.45025 8.985131.461 128.92614 125.1515 117.6577 96.48509 8.9875 131.4682 128.93334125.1656 117.6718 96.52686 8.99 131.4755 128.94748 125.1728 117.692896.5617 8.9925 131.4896 128.95468 125.187 117.7069 96.60347 8.995131.4968 128.96882 125.2011 117.721 96.63831 8.9975 131.504 128.97602125.2083 117.742 96.68007 9 131.5112 128.98323 125.2224 117.756296.71491

APPENDIX 2 Reverse Pressure lookup Temp 17.2 C. 20.1 C. 25.1 C. 35.1 C.Mass 30.0 5.005 5.1975 5.575 30.1 5.0125 5.205 5.5875 30.2 5.0225 5.2155.5975 30.3 5.03 5.225 5.6075 30.4 5.0375 5.2325 5.6175 30.5 5.0455.2425 5.6275 30.6 5.055 5.25 5.64 30.7 5.0625 5.26 5.65 30.8 5.075.2675 5.66 30.9 5.0775 5.2775 5.67 31.0 5.085 5.285 5.68 31.1 5.09255.295 5.69 31.2 5.1 5.3025 5.7 31.3 5.11 5.3125 5.71 31.4 5.1175 5.325.72 31.5 5.005 5.125 5.3275 5.73 31.6 5.0125 5.1325 5.3375 5.7425 31.75.02 5.14 5.345 5.7525 31.8 5.025 5.1475 5.355 5.7625 31.9 5.0325 5.1555.3625 5.77 32.0 5.04 5.1625 5.37 5.78 32.1 5.0475 5.17 5.38 5.79 32.25.055 5.1775 5.3875 5.8 32.3 5.06 5.185 5.395 5.81 32.4 5.0675 5.19255.4025 5.82 32.5 5.075 5.2 5.4125 5.83 32.6 5.08 5.205 5.42 5.84 32.75.0875 5.2125 5.4275 5.85 32.8 5.095 5.22 5.435 5.86 32.9 5.1 5.22755.4425 5.8675 33.0 5.1075 5.235 5.4525 5.8775 33.1 5.115 5.2425 5.465.8875 33.2 5.12 5.25 5.4675 5.8975 33.3 5.1275 5.255 5.475 5.9075 33.45.1325 5.2625 5.4825 5.915 33.5 5.14 5.27 5.49 5.925 33.6 5.1475 5.27755.4975 5.935 33.7 5.1525 5.2825 5.505 5.945 33.8 5.16 5.29 5.5125 5.952533.9 5.165 5.2975 5.52 5.9625 34.0 5.1725 5.3025 5.5275 5.9725 34.15.1775 5.31 5.535 5.98 34.2 5.185 5.3175 5.5425 5.99 34.3 5.19 5.32255.55 6 34.4 5.195 5.33 5.5575 6.0075 34.5 5.2025 5.3375 5.565 6.017534.6 5.2075 5.3425 5.5725 6.025 34.7 5.215 5.35 5.58 6.035 34.8 5.225.355 5.5875 6.045 34.9 5.225 5.3625 5.595 6.0525 35.0 5.2325 5.36755.6025 6.0625 35.1 5.2375 5.375 5.61 6.07 35.2 5.2425 5.38 5.6175 6.0835.3 5.2475 5.3375 5.6225 6.0875 35.4 5.255 5.3925 5.63 6.0975 35.5 5.265.4 5.6375 6.105 35.6 5.265 5.405 5.645 6.115 35.7 5.2725 5.4125 5.65256.1225 35.8 5.2775 5.4175 5.6575 6.13 35.9 5.2825 5.425 5.665 6.14 36.05.2875 5.43 5.6725 6.1475 36.1 5.2925 5.435 5.68 6.1575 36.2 5.29755.4425 5.685 6.165 36.3 5.305 5.4475 5.6925 6.1725 36.4 5.31 5.4525 5.76.1825 36.5 5.315 5.46 5.705 6.19 36.6 5.32 5.465 5.7125 6.1975 36.75.325 5.47 5.72 6.2075 36.8 5.33 5.4775 5.725 6.215 36.9 5.335 5.48255.7325 6.2225 37.0 5.34 5.4875 5.74 6.2325 37.1 5.345 5.4925 5.745 6.2437.2 5.35 5.5 5.7525 6.2475 37.3 5.355 5.505 5.7575 6.255 37.4 5.36 5.515.765 6.265 37.5 5.365 5.515 5.77 6.2725 37.6 5.37 5.52 5.7775 6.28 37.75.375 5.5275 5.7825 6.2875 37.8 5.38 5.5325 5.79 6.295 37.9 5.335 5.53755.795 6.305 38.0 5.39 5.5425 5.8025 6.3125 38.1 5.395 5.5475 5.8075 6.3238.2 5.4 5.5525 5.815 6.3275 38.3 5.405 5.5575 5.82 6.335 38.4 5.415.5625 5.8275 6.3425 38.5 5.4125 5.5675 5.8325 6.35 38.6 5.4175 5.57255.8375 6.3575 38.7 5.4225 5.58 5.845 6.3675 38.8 5.4275 5.585 5.85 6.37538.9 5.4325 5.59 5.8575 6.3825 39.0 5.4375 5.595 5.8625 6.39 39.1 5.445.6 5.8675 6.3975 39.2 5.445 5.605 5.875 6.405 39.3 5.45 5.6075 5.886.4125 39.4 5.455 5.6125 5.385 6.42 39.5 5.4575 5.6175 5.8925 6.427539.6 5.4625 5.6225 5.8975 6.435 39.7 5.4675 5.6275 5.9025 6.4425 39.85.47 5.6325 5.9075 6.45 39.9 5.475 5.6375 5.915 6.4575 40.0 5.48 5.64255.92 6.4625 40.1 5.4825 5.6475 5.925 6.47 40.2 5.4875 5.6525 5.93 6.477540.3 5.4925 5.655 5.935 6.485 40.4 5.495 5.66 5.9425 6.4925 40.5 5.55.665 5.9475 6.5 40.6 5.505 5.67 5.9525 6.5075 40.7 5.5075 5.675 5.95756.515 40.8 5.5125 5.68 5.9625 6.52 40.9 5.515 5.6825 5.9675 6.5275 41.05.52 5.6875 5.975 6.535 41.1 5.5225 5.6925 5.98 6.5425 41.2 5.52755.6975 5.985 6.55 41.3 5.53 5.7 5.99 6.555 41.4 5.535 5.705 5.995 6.562541.5 5.5375 5.71 6 6.57 41.6 5.5425 5.7125 6.005 6.5775 41.7 5.5455.7175 6.01 6.585 41.8 5.55 5.7225 6.015 6.59 41.9 5.5525 5.725 6.026.5975 42.0 5.5575 5.73 6.025 6.605 42.1 5.56 5.735 6.03 6.61 42.2 5.5655.7375 6.035 6.6175 42.3 5.5675 5.7425 6.04 6.625 42.4 5.57 5.7475 6.0456.63 42.5 5.575 5.75 6.05 6.6375 42.6 5.5775 5.755 6.055 6.645 42.75.5825 5.7575 6.06 6.65 42.8 5.585 5.7625 6.065 6.6575 42.9 5.5875 5.7656.07 6.665 43.0 5.5925 5.77 6.075 6.67 43.1 5.595 5.775 6.08 6.8775 43.25.5975 5.7775 6.0825 6.6825 43.3 5.6 5.7825 6.0875 6.69 43.4 5.605 5.7356.0925 6.6975 43.5 5.6075 5.79 6.0975 6.7025 43.6 5.61 5.7925 6.10256.71 43.7 5.615 5.7975 6.1075 6.715 43.8 5.6175 5.8 6.1125 6.7225 43.95.62 5.8025 6.115 6.7275 44.0 5.6225 5.8075 6.12 6.735 44.1 5.6275 5.816.125 6.74 44.2 5.63 5.815 6.13 6.7475 44.3 5.6325 5.8175 6.135 6.752544.4 5.635 5.8225 6.1375 6.713 44.5 5.6375 5.825 6.1425 6.765 44.6 5.645.8275 6.1475 6.7725 44.7 5.645 5.8325 6.1525 6.7775 44.8 5.6475 5.8356.155 6.785 44.9 5.65 5.84 6.16 6.79 45.0 5.6525 5.8425 6.165 6.795 45.15.655 5.845 6.1675 6.8925 45.2 5.6575 5.85 6.1725 6.8075 45.3 5.665.8525 6.1775 6.815 45.4 5.665 5.855 6.1825 6.132 45.5 5.6675 5.85756.185 6.825 45.6 5.67 5.8625 6.19 6.8325 45.7 5.6725 5.865 6.195 6.837545.8 5.675 5.8675 6.1975 6.845 45.9 5.6775 5.8725 6.2025 6.85 46.0 5.685.875 6.205 6.855 46.1 5.6825 5.8775 6.21 6.8625 46.2 5.685 5.88 6.2156.8675 46.3 5.6875 5.885 6.2175 6.8725 46.4 5.69 5.8875 6.2225 6.877546.5 5.6925 5.89 6.225 6.885 46.6 5.695 5.8925 6.23 6.89 46.7 5.69755.895 6.235 6.895 46.8 5.7 5.9 6.2375 6.9025 46.9 5.7025 5.9025 6.24256.9075 47.0 5.705 5.905 6.245 6.9125 47.1 5.7075 5.9075 6.25 6.9175 47.25.71 5.91 6.2525 6.925 47.3 5.7125 5.9125 6.2575 6.93 47.4 5.715 5.91756.26 6.935 47.5 5.7175 5.92 6.265 6.94 47.6 5.7175 5.9225 6.2675 6.94547.7 5.72 5.925 6.2725 6.9525 47.8 5.7225 5.9275 6.275 6.9575 47.9 5.7255.93 6.28 6.9625 48.0 5.7275 5.9325 6.2825 6.9675 48.1 5.73 5.935 6.28756.9725 48.2 5.7325 5.9375 6.29 6.98 48.3 5.735 5.94 6.2925 6.985 48.45.735 5.9425 6.2975 6.99 48.5 5.7375 5.9475 6.3 6.995 48.6 5.74 5.956.305 7 48.7 5.7425 5.9525 6.3075 7.005 48.8 5.745 5.955 6.31 7.01 48.95.745 5.9575 6.315 7.015 49.0 5.7475 5.96 6.3175 7.0225 49.1 5.75 5.96256.3225 7.0275 49.2 5.7525 5.965 6.325 7.0325 49.3 5.755 5.9675 6.32757.0375 49.4 5.755 5.97 6.3325 7.0425 49.5 5.7575 5.9725 6.335 7.047549.6 5.76 5.975 6.3375 7.0525 49.7 5.7625 5.9775 6.3425 7.0575 49.85.7625 5.9775 6.345 7.0625 49.9 5.765 5.93 6.3475 7.0675 50.0 5.76755.9825 6.3525 7.0725 50.1 5.77 5.985 6.355 7.0775 50.2 5.77 5.98756.3575 7.0825 50.3 5.7725 5.99 6.36 7.0875 50.4 5.775 5.9925 6.31357.0925 50.5 5.775 5.995 6.3675 7.0975 50.6 5.7775 5.9975 6.37 7.102550.7 5.78 6 6.375 7.1075 50.8 5.78 6.0025 6.3775 7.1125 50.9 5.78256.005 6.38 7.1175 51.0 5.785 6.005 6.3825 7.1225 51.1 5.785 6.00756.3875 7.1275 51.2 5.7875 6.01 6.39 7.1325 51.3 5.79 6.0125 6.39257.1375 51.4 5.79 6.015 6.395 7.1425 51.5 5.7925 6.0175 6.3975 7.147551.6 5.7925 6.0175 6.4025 7.1525 51.7 5.795 6.02 6.405 7.1575 51.85.7975 6.0225 6.4075 7.1625 51.9 5.7975 6.025 6.41 7.165 52.0 5.8 6.02756.4125 7.17 52.1 5.8 6.03 6.415 7.175 52.2 5.8025 6.03 6.42 7.18 52.35.805 6.0325 6.4225 7.185 52.4 5.805 6.035 6.425 7.19 52.5 5.8075 6.03756.4275 7.195 52.6 5.8075 6.0375 6.43 7.2 52.7 5.81 6.04 6.4325 7.202552.8 5.81 6.0425 6.435 7.2075 52.9 5.8125 6.045 6.44 7.2125 53.0 5.81256.045 6.4425 7.2175 53.1 5.815 6.0475 6.445 7.2225 53.2 5.815 6.056.4475 7.2275 53.3 5.8175 6.0525 6.45 7.23 53.4 5.82 6.0525 6.4525 7.23553.5 5.82 6.055 6.455 7.24 53.6 5.8225 6.0575 6.4575 7.245 53.7 5.82256.0575 6.46 7.25 53.8 5.8225 6.06 6.4625 7.255 53.9 5.825 6.0625 6.4657.2575 54.0 5.825 6.065 6.4675 7.2625 54.1 5.8275 6.065 6.4725 7.267554.2 5.8275 6.0675 6.475 7.2725 54.3 5.83 6.07 6.4775 7.275 54.4 5.636.07 6.48 7.23 54.5 5.8325 6.0725 6.4825 7.235 54.6 5.8325 6.075 6.4857.29 54.7 5.835 6.075 6.4875 7.2925 54.8 5.835 6.0775 6.49 7.2975 54.95.8375 6.08 6.4925 7.3025 55.0 5.8375 6.08 6.495 7.3075 55.1 5.83756.0825 6.4975 7.31 55.2 5.84 6.0325 6.5 7.315 55.3 5.84 6.085 6.50257.32 55.4 5.8425 6.0875 6.505 7.3225 55.5 5.8425 6.0875 6.5075 7.327555.6 5.8425 6.09 6.51 7.3325 55.7 5.845 6.09 6.5125 7.3375 55.8 5.8456.0925 6.515 7.34 55.9 5.8475 6.095 6.5175 7.345 56.0 5.8475 6.0956.5175 7.35 56.1 5.8475 6.0975 6.52 7.3525 56.2 5.85 6.0975 6.52257.3575 56.3 5.85 6.1 6.525 7.3625 56.4 5.85 6.1025 6.5275 7.365 56.55.8525 6.1025 6.53 7.37 56.6 5.8525 6.105 6.5325 7.375 56.7 5.8525 6.1056.535 7.3775 56.8 5.855 6.1075 6.5375 7.3825 56.9 5.855 6.1075 6.547.3875 57.0 5.855 6.11 6.5425 7.39 57.1 5.8575 6.11 6.545 7.395 57.25.8575 6.1125 6.5475 7.3975 57.3 5.8575 6.115 6.5475 7.4025 57.4 5.866.115 6.55 7.4075 57.5 5.86 6.1175 6.5525 7.41 57.6 5.86 6.1175 6.5557.415 57.7 5.8625 6.12 6.5575 7.42 57.8 5.8625 6.12 6.56 7.4225 57.95.8625 6.1225 6.5625 7.4275 58.0 5.865 6.1225 6.565 7.43 58.1 5.8656.125 6.565 7.435 58.2 5.865 6.125 6.5675 7.44 58.3 5.865 6.1275 6.577.4425 58.4 5.8675 6.1275 6.5725 7.4475 58.5 5.8675 6.13 6.575 7.45 58.65.8675 6.13 6.5775 7.455 58.7 5.87 6.1325 6.5775 7.4575 58.8 5.87 6.13256.58 7.4625 58.9 5.87 6.135 6.5825 7.4675 59.0 5.87 6.135 6.585 7.4759.1 5.8725 6.135 6.5875 7.175 59.2 5.8725 6.1375 6.59 7.4775 59.35.8725 6.1375 6.59 7.4825 59.4 5.8725 6.14 6.5925 7.435 59.5 5.875 6.146.595 7.49 59.6 5.875 6.1425 6.5975 7.4925 59.7 5.875 6.1425 6.6 7.497559.8 5.875 6.145 6.6 7.5 59.9 5.8775 6.145 6.6025 7.505 60.0 5.87756.145 6.605 7.5075 60.1 5.8775 6.1475 6.6075 7.5125 60.2 5.8775 6.14756.61 7.515 60.3 5.8775 6.15 6.61 7.52 60.4 5.88 6.15 6.6125 7.525 60.55.88 6.1525 6.615 7.5275 60.6 5.88 6.1525 6.6175 7.5325 60.7 5.88 6.15256.6175 7.535 60.8 5.8825 6.155 6.62 7.54 60.9 5.8825 6.155 6.6225 7.542561.0 5.8825 6.1575 6.625 7.545 61.1 5.8825 5.1575 6.6275 7.55 61.25.8825 5.1575 6.6275 7.5525 61.3 5.885 6.16 6.63 7.5575 61.4 5.885 6.166.6325 7.56 61.5 5.885 6.1625 6.635 7.565 61.6 5.885 6.1625 6.635 7.567561.7 5.885 6.1625 6.6375 7.5725 61.8 5.885 6.165 6.64 7.575 61.9 5.88756.165 6.64 7.58 62.0 5.8875 6.165 6.6425 7.5825 62.1 5.8875 6.1675 6.6457.5875 62.2 5.8875 6.1675 6.6475 7.59 62.3 5.8875 6.17 6.6475 7.595 62.45.8875 6.17 6.65 7.5975 62.5 5.89 6.17 6.6525 7.6 62.6 5.89 6.17256.6525 7.605 62.7 5.89 6.1725 6.655 7.6075 62.8 5.89 6.1725 6.65757.6125 62.9 5.89 6.175 6.66 7.615 63.0 5.89 6.175 6.66 7.62 63.1 5.89256.175 6.6625 7.6225 63.2 5.8925 5.1775 6.665 7.6275 63.3 5.8925 6.17756.665 7.63 63.4 5.8925 6.1775 6.6675 7.6325 63.5 5.8925 6.18 6.67 7.637563.6 5.8925 6.18 6.67 7.64 63.7 5.8925 6.18 6.6725 7.645 63.8 5.8956.1825 6.575 7.6475 63.9 5.895 6.1825 6.6775 7.65 64.0 5.895 6.18256.6775 7.655 64.1 5.895 6.185 6.68 7.6575 64.2 5.895 6.185 6.6825 7.562564.3 5.895 6.185 6.6825 7.665 64.4 5.895 6.1875 6.685 7.67 64.5 5.8956.1875 6.6875 7.6725 64.6 5.8975 6.1875 6.6875 7.675 64.7 5.8975 6.196.69 7.68 64.8 5.8975 6.19 6.6925 7.6825 64.9 5.8975 6.19 6.6925 7.687565.0 5.8975 6.1925 6.695 7.69 65.1 5.8975 6.1925 6.6975 7.6925 65.25.8975 6.1925 6.6975 7.6975 65.3 5.8975 6.195 6.7 7.7 65.4 5.8975 6.1956.7 7.7025 65.5 5.9 6.195 6.7025 7.7075 65.6 5.9 6.195 6.705 7.71 65.75.9 6.1975 6.705 7.715 65.8 5.9 6.1975 6.7075 7.7175 65.9 5.9 6.19756.71 7.72 66.0 5.9 6.2 6.71 7.725 66.1 5.9 6.2 6.7125 7.7275 66.2 5.96.2 6.715 7.73 66.3 5.9 6.2 6.715 7.735 66.4 5.9 6.2025 6.7175 7.737566.5 5.9025 6.2025 6.72 7.7425 66.6 5.9025 6.2025 6.72 7.745 66.7 5.90256.205 6.7225 7.7475 66.8 5.9025 6.205 6.7225 7.7525 66.9 5.9025 6.2056.725 7.755 67.0 5.9025 6.205 6.7275 7.7575 67.1 5.9025 6.2075 6.72757.7625 67.2 5.9025 6.2075 6.73 7.765 67.3 5.9025 6.2075 6.7325 7.77 67.45.9025 6.21 6.7325 7.7725 67.5 5.9025 6.21 6.735 7.775 67.6 5.9025 6.216.735 7.78 67.7 5.905 6.21 6.7375 7.7825 67.8 5.905 6.2125 6.74 7.78567.9 5.905 6.2125 6.74 7.79 68.0 5.905 6.2125 6.7425 7.7925 68.1 5.9056.2125 6.7425 7.795 68.2 5.905 6.215 6.745 7.5 68.3 5.905 6.215 6.74757.8025 68.4 5.905 6.215 6.7475 7.805 68.5 5.905 6.215 6.75 7.81 68.65.905 6.2175 6.75 7.8125 68.7 5.905 6.2175 6.7525 7.815 68.8 5.9056.2175 6.755 7.82 68.9 5.905 6.22 6.755 7.3225 69.0 5.905 6.22 6.75757.825 69.1 5.9075 6.22 6.7575 7.83 69.2 5.9075 6.22 6.76 7.8325 69.35.9075 6.2225 5.7625 7.8375 69.4 5.9075 6.2225 6.7625 7.84 69.5 5.90756.2225 6.765 7.8425 69.6 5.9075 6.2225 6.765 7.8475 69.7 5.9075 6.2256.7675 7.85 69.8 5.9075 6.225 6.77 7.8525 69.9 5.9075 6.225 6.77 7.857570.0 5.9075 6.225 6.7725 7.86 70.1 5.9075 6.2275 6.7725 7.8625 70.25.9075 6.2275 6.775 7.8675 70.3 5.9075 6.2275 6.7775 7.87 70.4 5.99756.2275 6.7775 7.8725 70.5 5.9075 6.2275 6.78 7.8775 70.6 5.9075 6.236.78 7.88 70.7 5.9075 6.23 6.7825 7.8825 70.8 5.9075 6.23 6.785 7.837570.9 5.91 6.23 6.785 7.89 71.0 5.91 6.2325 6.7875 7.8925 71.1 5.915.2325 6.7875 7.8975 71.2 5.91 6.2325 6.79 7.9 71.3 5.91 6.2325 6.797.9025 71.4 5.91 6.235 6.7925 7.9075 71.5 5.91 6.235 6.795 7.91 71.65.91 6.235 6.795 7.9125 71.7 5.91 6.235 6.7975 7.9175 71.8 5.91 6.23756.7975 7.92 71.9 5.91 6.2375 6.8 7.9225 72.0 5.91 6.2375 6.8025 7.927572.1 5.91 6.2375 6.8025 7.93 72.2 5.91 6.24 6.805 7.9325 72.3 5.91 6.246.805 7.9375 72.4 5.91 6.24 6.8075 7.941 72.5 5.91 6.24 6.8075 7.942572.6 5.91 5.24 6.81 7.9475 72.7 5.91 6.2425 6.8125 7.95 72.8 5.91 6.24256.8125 7.9525 72.9 5.91 6.2425 6.815 7.9575 73.0 5.9125 6.2425 6.8157.96 73.1 5.9125 6.245 6.8175 7.9625 73.2 5.9125 6.245 6.82 7.9675 73.35.9125 6.245 6.82 7.97 73.4 5.9125 6.245 6.8225 7.9726 73.5 5.91256.2475 6.8225 7.9775 73.6 5.9125 6.2475 6.825 7.98 73.7 5.9125 6.24756.825 7.9825 73.8 5.9125 6.2475 6.8275 7.9875 73.9 5.9125 6.2475 6.837.99 74.0 5.9125 6.25 6.83 7.995 74.1 5.9125 6.25 6.8325 7.9975 74.25.9125 6.25 6.8325 8 74.3 5.9125 6.25 6.835 8.005 74.4 5.9125 6.25256.835 8.0075 74.5 5.9125 6.2525 6.8375 8.01 74.6 5.9125 6.2525 6.848.015 74.7 5.9125 6.2525 6.84 8.0175 74.8 5.9125 6.255 6.8425 8.02 74.95.9125 6.255 6.8425 8.025 75.0 5.9125 6.255 6.845 8.0275 75.1 5.91256.255 6.8475 8.03 75.2 5.9125 6.255 6.8475 8.035 75.3 5.9125 6.2575 6.858.0375 75.4 5.9125 6.2575 6.85 8.04 75.5 5.915 6.2575 6.8525 8.045 75.65.915 6.2575 6.8525 8.0475 75.7 5.915 6.26 6.855 8.0525 75.8 5.915 6.266.8575 8.055 75.9 5.915 6.26 6.8575 8.0575 76.0 5.915 6.26 6.86 8.062576.1 5.915 6.2625 6.86 8.065 76.2 5.915 6.2625 6.8625 8.0675 76.3 5.9156.2625 6.865 8.0725 76.4 5.915 6.2625 6.865 8.075 76.5 5.915 6.26256.8675 8.08 76.6 5.915 6.265 6.8675 8.0825 76.7 5.915 5.265 6.87 8.08576.8 5.915 6.265 6.8725 8.09 76.9 5.915 6.265 6.8725 8.0925 77.0 5.9156.2575 6.875 8.095 77.1 5.915 6.2675 6.875 8.1 77.2 5.915 6.2675 6.87758.1025 77.3 5.915 6.2675 6.8775 8.1075 77.4 5.915 6.27 6.88 8.11 77.55.915 6.27 6.8825 8.1125 77.6 5.915 6.27 6.8825 8.1175 77.7 5.915 6.276.885 8.12 77.8 5.915 6.27 6.885 8.125 77.9 5.915 6.2725 6.8875 8.127578.0 5.9175 6.2725 6.89 8.13 76.1 5.9175 6.2725 6.89 8.135 78.2 5.91756.2725 6.8925 8.1375 78.3 5.9175 6.275 6.8925 8.1425 78.4 5.9175 6.2756.895 8.145 78.5 5.9175 6.275 6.8975 8.1475 78.6 5.9175 6.275 6.89758.1525 78.7 5.9175 6.2775 6.9 8.155 78.8 5.9175 6.2775 6.9025 8.16 78.95.9175 6.2775 6.9025 8.1625 79.0 5.9175 6.2775 6.905 8.1675 79.1 5.91756.28 6.905 8.17 79.2 5.9175 6.28 6.9075 8.1725 79.3 5.9175 6.28 6.918.1775 79.4 5.9175 6.28 6.91 8.18 79.5 5.9175 6.2825 6.9125 8.185 79.65.9175 6.2825 6.9125 8.1875 79.7 5.9175 6.2825 6.915 8.1925 79.8 5.91756.2825 6.9175 8.195 79.9 5.9175 6.285 6.9175 8.2 80.0 5.9175 6.285 6.928.2025 80.1 5.9175 6.285 6.9225 8.205 80.2 5.9175 6.285 6.9225 8.21 80.35.92 6.2875 6.925 8.2125 80.4 5.92 6.2875 6.925 8.2175 80.5 5.92 6.28756.9275 8.22 80.6 5.92 6.2875 6.93 8.225 80.7 5.92 6.29 6.93 8.2275 80.85.92 6.29 6.9325 8.2325 80.9 5.92 6.29 6.935 8.235 81.0 5.92 6.29 6.9358.24 81.1 5.92 6.2925 6.9375 8.2425 81.2 5.92 6.2925 6.94 8.2475 81.35.92 6.2925 6.94 8.25 81.4 5.92 6.2925 6.9425 8.255 81.5 5.92 6.2956.9425 8.2575 81.6 5.92 6.295 6.945 8.2625 81.7 5.92 6.295 6.9475 8.26581.8 5.92 6.295 6.9475 8.27 81.9 5.92 6.2975 6.95 8.2725 82.0 5.926.2975 6.9525 8.2775 82.1 5.92 6.2975 6.9525 8.28 82.2 5.9225 6.29756.955 8.285 82.3 5.9225 6.3 6.9575 8.2875 82.4 5.9225 3.3 6.9575 8.292582.5 5.9225 6.3 6.96 8.295 82.6 5.9225 6.3025 6.9625 8.3 82.7 5.92256.3025 6.9625 8.3025 82.8 5.9225 6.3025 6.965 8.3075 82.9 5.9225 6.30256.9675 8.3125 83.0 5.9225 6.305 6.9675 8.315 83.1 5.9225 6.305 6.97 8.3283.2 5.9225 6.305 6.9725 8.3225 83.3 5.9225 6.305 6.9725 8.3275 83.45.9225 6.3075 6.975 8.33 83.5 5.9225 6.3075 6.9775 8.335 83.6 5.92256.3075 6.98 8.34 83.7 5.9225 6.31 6.98 8.3425 83.8 5.925 6.31 6.98258.3475 83.9 5.925 6.31 6.985 8.35 84.0 5.925 6.31 6.985 8.355 84.1 5.9256.3125 6.9875 8.3575 84.2 5.925 6.3125 6.99 8.3625 84.3 5.925 6.31256.99 8.3675 84.4 5.925 6.315 6.9925 8.37 84.5 5.925 6.315 6.995 8.37584.6 5.925 6.315 6.9975 8.38 84.7 5.925 6.3175 6.9975 8.3825 84.8 5.9256.3175 7 8.3875 84.9 5.925 6.3175 7.0025 8.39 85.0 5.925 6.32 7.00258.395 85.1 5.9275 6.32 7.005 8.4 85.2 5.9275 6.32 7.0075 8.4025 85.35.9275 6.32 7.01 8.4075 85.4 5.9275 6.3225 7.01 8.4125 85.5 5.92756.3225 7.0125 8.415 85.6 5.9275 6.3225 7.015 8.42 85.7 5.9275 6.3257.0175 8.425 85.8 5.9275 5.325 7.0175 8.4275 85.9 5.9275 6.325 7.028.4325 86.0 5.9275 6.3275 7.0225 8.4375 86.1 5.9275 6.3275 7.025 8.4486.2 5.93 6.3275 7.025 8.445 86.3 5.93 6.33 7.0275 8.45 86.4 5.93 6.337.03 8.455 86.5 5.93 6.33 7.0325 8.4575 86.6 5.93 6.3325 7.0325 8.462586.7 5.93 6.3325 7.035 8.4675 86.8 5.93 6.3325 7.0375 8.4725 86.9 5.936.335 7.04 8.475 87.0 5.93 6.335 7.0425 8.48 87.1 5.9325 6.335 7.04258.485 87.2 5.9325 6.3375 7.045 8.49 87.3 5.9325 6.3375 7.0475 8.492587.4 5.9325 6.34 7.05 8.4975 87.5 5.9325 6.34 7.0525 8.5025 87.6 5.93256.34 7.0525 8.5075 87.7 5.9325 6.3425 7.055 8.51 87.8 5.9325 6.34257.0575 8.515 87.9 5.9325 6.3425 7.06 8.52 88.0 5.935 6.345 7.0625 8.52588.1 5.935 6.345 7.065 8.53 88.2 5.935 6.345 7.065 8.5325 88.3 5.9356.3475 7.0675 8.5375 88.4 5.935 6.3475 7.07 8.5425 88.5 5.935 6.357.0725 8.5475 88.6 5.935 6.35 7.075 8.5525 88.7 5.9375 6.35 7.07758.5575 88.8 5.9375 6.3525 7.03 8.5625 88.9 5.9375 6.3525 7.08 8.565 89.05.9375 6.355 7.0825 8.57 89.1 5.9375 6.355 7.085 8.575 89.2 5.9375 6.3557.0875 8.58 89.3 5.9375 6.3575 7.09 8.535 89.4 5.94 6.3575 7.0925 8.5989.5 5.94 6.36 7.095 8.595 89.6 5.94 6.36 7.0975 8.6 89.7 5.94 6.36257.1 8.605 89.8 5.94 6.3625 7.1 8.61 89.9 5.94 6.3625 7.1025 8.615 90.05.9425 6.365 7.105 8.6175 90.1 5.9425 6.365 7.1075 8.625 90.2 5.94256.3675 7.11 8.6275 90.3 5.9425 6.3675 7.1125 8.6325 90.4 5.9425 6.377.115 8.6375 90.5 5.9425 6.37 7.1175 8.6425 90.6 5.945 6.37 7.12 8.647590.7 5.945 6.3725 7.1225 8.6525 90.8 5.945 6.3725 7.125 8.6575 90.95.945 6.375 7.1275 8.6625 91.0 5.945 6.375 7.13 8.6675 91.1 5.94756.3775 7.1325 8.675 91.2 5.9475 6.3775 7.135 8.68 91.3 5.9475 6.387.1375 8.685 91.4 5.9475 6.38 7.14 8.69 91.5 5.9475 6.3825 7.1425 8.69591.6 5.95 6.3825 7.145 8.7 91.7 5.95 6.385 7.1475 8.705 91.8 5.95 6.3857.15 8.71 91.9 5.95 6.3875 7.1525 8.715 92.0 5.9525 6.3875 7.155 8.7292.1 5.9525 6.39 7.1575 8.725 92.2 5.9525 6.39 7.16 8.7325 92.3 5.95256.3925 7.1625 8.7375 92.4 5.9525 6.3925 7.165 8.7425 92.5 5.955 6.3957.1675 8.7475 92.6 5.955 6.3975 7.17 8.7525 92.7 5.955 6.3975 7.17258.7575 92.8 5.955 6.4 7.175 8.7625 92.9 5.9575 6.4 7.1775 8.77 93.05.9575 6.4025 7.18 8.775 93.1 5.9575 6.4025 7.1825 8.78 93.2 5.96 6.4057.1875 8.785 93.3 5.96 6.405 7.19 8.7925 93.4 5.96 6.4075 7.1925 8.797593.5 5.96 6.41 7.195 8.8025 93.6 5.9625 6.41 7.1975 8.8075 93.7 5.96256.4125 7.2 8.815 93.8 5.9625 6.4125 7.2025 8.82 93.9 5.965 6.415 7.20758.825 94.0 5.965 6.4175 7.21 8.8325 94.1 5.965 6.4175 7.2125 8.8375 94.25.9675 6.42 7.215 8.8425 94.3 5.9675 6.4225 7.2175 8.85 94.4 5.96756.4225 7.22 8.855 94.5 5.9675 6.425 7.225 8.86 94.6 5.97 6.425 7.22758.8675 94.7 5.97 6.4275 7.23 8.8725 94.8 5.9725 6.43 7.2325 8.8775 94.95.9725 6.43 7.2375 8.885 95.0 5.9725 6.4325 7.24 8.89 95.1 5.975 6.4357.2425 8.8975 95.2 5.975 6.435 7.245 8.9025 95.3 5.975 6.4375 7.24758.9075 95.4 5.9775 6.44 7.2525 8.915 95.5 5.9775 6.4425 7.255 8.92 95.65.9775 6.4425 7.2575 8.9275 95.7 5.98 6.445 7.2625 8.9325 95.8 5.986.4475 7.265 8.94 95.9 5.9325 6.4475 7.2675 8.945 96.0 5.9825 6.457.2725 8.9525 96.1 5.9825 6.4525 7.275 8.96 96.2 5.985 6.455 7.27758.965 96.3 5.985 6.455 7.2325 8.9725 96.4 5.9875 6.4575 7.285 8.977596.5 5.9875 6.46 7.2875 8.9135 96.6 5.99 6.4625 7.2925 8.99 96.7 5.996.465 7.295 8.9975 96.8 5.9925 6.465 7.3 9

APPENDIX 3 Lookup mass as function of dP (inside) Delta T 5 C. Delta 10C. Delta 15 C. Delta 18 C. Delta mass 30.0 0.1925 0.3775 0.57 30.10.1925 0.3825 0.575 30.2 0.1925 0.3825 0.575 30.3 0.195 0.3825 0.577530.4 0.195 0.3850 0.58 30.5 0.1975 0.3850 0.5825 30.6 0.195 0.3900 0.58530.7 0.1975 0.3900 0.5875 30.8 0.1975 0.3925 0.59 30.9 0.2 0.3925 0.592531.0 0.2 0.3950 0.595 31.1 0.2025 0.3950 0.5975 31.2 0.2025 0.3975 0.631.3 0.2025 0.3975 0.6 31.4 0.2025 0.4000 0.6025 31.5 0.2025 0.40250.605 0.725 31.6 0.205 0.4050 0.61 0.73 31.7 0.205 0.4075 0.6125 0.732531.8 0.2075 0.4075 0.615 0.7375 31.9 0.2075 0.4075 0.615 0.7375 32.00.2075 0.4100 0.6175 0.74 32.1 0.21 0.4100 0.62 0.7425 32.2 0.21 0.41250.6225 0.745 32.3 0.21 0.4150 0.625 0.75 32.4 0.21 0.4175 0.6275 0.752532.5 0.2125 0.4175 0.63 0.755 32.6 0.215 0.4200 0.635 0.76 32.7 0.2150.4225 0.6375 0.7625 32.8 0.215 0.4250 0.64 0.765 32.9 0.215 0.4250 0.640.7675 33.0 0.2175 0.4250 0.6425 0.77 33.1 0.2175 0.4275 0.645 0.772533.2 0.2175 0.4300 0.6475 0.7775 33.3 0.22 0.4325 0.6525 0.78 33.4 0.220.4325 0.6525 0.7825 33.5 0.22 0.4350 0.655 0.785 33.6 0.22 0.43750.6575 0.7875 33.7 0.2225 0.4400 0.6625 0.7925 33.8 0.2225 0.4400 0.66250.7925 33.9 0.2225 0.4425 0.665 0.7975 34.0 0.225 0.4450 0.67 0.8 34.10.225 0.4450 0.67 0.8025 34.2 0.225 0.4475 0.6725 0.805 34.3 0.22750.4500 0.6775 0.81 34.4 0.2275 0.4500 0.6775 0.8125 34.5 0.2275 0.45250.68 0.815 34.6 0.23 0.4525 0.6825 0.8175 34.7 0.23 0.4550 0.685 0.8234.8 0.2325 0.4575 0.69 0.825 34.9 0.2325 0.4575 0.69 0.8275 35.0 0.2350.4600 0.695 0.83 35.1 0.235 0.4600 0.695 0.8325 35.2 0.2375 0.4625 0.70.8375 35.3 0.235 0.4650 0.7 0.84 35.4 0.2375 0.4675 0.705 0.8425 35.50.2375 0.4675 0.705 0.845 35.6 0.24 0.4700 0.71 0.85 35.7 0.24 0.47000.71 0.85 35.8 0.24 0.4725 0.7125 0.8525 35.9 0.24 0.4750 0.715 0.857536.0 0.2425 0.4750 0.7175 0.86 36.1 0.245 0.4775 0.7225 0.865 36.20.2425 0.4800 0.7225 0.8675 36.3 0.245 0.4800 0.725 0.8675 36.4 0.24750.4825 0.73 0.8725 36.5 0.245 0.4850 0.73 0.875 36.6 0.2475 0.48500.7325 0.8775 36.7 0.25 0.4875 0.7375 0.8825 36.8 0.2475 0.4900 0.73750.885 36.9 0.25 0.4900 0.74 0.8875 37.0 0.2525 0.4925 0.745 0.8925 37.10.2525 0.4950 0.7475 0.895 37.2 0.2525 0.4950 0.7475 0.8975 37.3 0.25250.4975 0.75 0.9 37.4 0.255 0.5000 0.755 0.905 37.5 0.255 0.5025 0.75750.9075 37.6 0.2575 0.5025 0.76 0.91 37.7 0.255 0.5050 0.76 0.9125 37.80.2575 0.5050 0.7625 0.915 37.9 0.2575 0.5100 0.7675 0.92 38.0 0.260.5100 0.77 0.9225 38.1 0.26 0.5125 0.7725 0.925 38.2 0.2625 0.51250.775 0.9275 38.3 0.2625 0.5150 0.7775 0.93 38.4 0.265 0.5150 0.780.9325 38.5 0.265 0.5175 0.7825 0.9375 38.6 0.265 0.5200 0.785 0.94 38.70.265 0.5225 0.7875 0.945 38.8 0.265 0.5250 0.79 0.9475 38.9 0.26750.5250 0.7925 0.95 39.0 0.2675 0.5275 0.795 0.9525 39.1 0.2675 0.53000.7975 0.9575 39.2 0.27 0.5300 0.8 0.96 39.3 0.2725 0.5325 0.805 0.962539.4 0.2725 0.5350 0.8075 0.965 39.5 0.275 0.5350 0.81 0.97 39.6 0.2750.5375 0.8125 0.9725 39.7 0.275 0.5400 0.815 0.975 39.8 0.275 0.54250.8175 0.98 39.9 0.2775 0.5425 0.82 0.9825 40.0 0.2775 0.5425 0.820.9825 40.1 0.2775 0.5450 0.8225 0.9875 40.2 0.2775 0.5475 0.825 0.9940.3 0.28 0.5500 0.83 0.9925 40.4 0.2825 0.5500 0.8325 0.9975 40.50.2825 0.5525 0.835 1 40.6 0.2825 0.5550 0.8375 1.0025 40.7 0.28250.5575 0.84 1.0075 40.8 0.2825 0.5575 0.84 1.0075 40.9 0.285 0.56000.845 1.0125 41.0 0.2875 0.5600 0.8475 1.015 41.1 0.2875 0.5625 0.851.02 41.2 0.2875 0.5650 0.8525 1.0225 41.3 0.29 0.5650 0.855 1.025 41.40.29 0.5675 0.8575 1.0275 41.5 0.29 0.5700 0.86 1.0325 41.6 0.29250.5725 0.865 1.035 41.7 0.2925 0.5750 0.8675 1.04 41.8 0.2925 0.57500.8675 1.04 41.9 0.295 0.5775 0.8725 1.045 42.0 0.295 0.5800 0.8751.0475 42.1 0.295 0.5800 0.875 1.05 42.2 0.2975 0.5825 0.88 1.0525 42.30.2975 0.5850 0.8825 1.0575 42.4 0.2975 0.5850 0.8825 1.06 42.5 0.30.5875 0.8875 1.0625 42.6 0.3 0.5900 0.89 1.0675 42.7 0.3025 0.59000.8925 1.0675 42.8 0.3025 0.5925 0.895 1.0725 42.9 0.305 0.5950 0.91.0775 43.0 0.305 0.5950 0.9 1.0775 43.1 0.305 0.5975 0.9025 1.0825 43.20.305 0.6000 0.905 1.085 43.3 0.305 0.6025 0.9075 1.09 43.4 0.30750.6050 0.9125 1.0925 43.5 0.3075 0.6050 0.9125 1.095 43.6 0.31 0.60750.9175 1.1 43.7 0.31 0.6075 0.9175 1.1 43.8 0.3125 0.6100 0.9225 1.10543.9 0.3125 0.6125 0.925 1.1075 44.0 0.3125 0.6150 0.9275 1.1125 44.10.315 0.6150 0.93 1.1125 44.2 0.315 0.6175 0.9325 1.1175 44.3 0.31750.6175 0.935 1.12 44.4 0.315 0.6225 0.9375 1.125 44.5 0.3175 0.6225 0.941.1275 44.6 0.32 0.6250 0.945 1.1325 44.7 0.32 0.6250 0.945 1.1325 44.80.32 0.6300 0.95 1.1375 44.9 0.32 0.6300 0.95 1.14 45.0 0.3225 0.63000.9525 1.1425 45.1 0.3225 0.6350 0.9575 1.1475 45.2 0.3225 0.6350 0.95751.15 45.3 0.325 0.6375 0.9625 1.155 45.4 0.3275 0.6375 0.965 1.155 45.50.3275 0.6400 0.9675 1.1575 45.6 0.3275 0.6425 0.97 1.1625 45.7 0.330.6425 0.9725 1.165 45.8 0.33 0.6475 0.9775 1.17 45.9 0.33 0.6475 0.97751.1725 46.0 0.33 0.6500 0.98 1.175 46.1 0.3325 0.6525 0.985 1.18 46.20.335 0.6525 0.9875 1.1825 46.3 0.3325 0.6550 0.9875 1.185 46.4 0.3350.6550 0.99 1.1875 46.5 0.335 0.6600 0.995 1.1925 46.6 0.3375 0.66000.9975 1.195 46.7 0.34 0.6600 1 1.1975 46.8 0.3375 0.6650 1.0025 1.202546.9 0.34 0.6650 1.005 1.205 47.0 0.34 0.6675 1.0075 1.2075 47.1 0.34250.6675 1.01 1.21 47.2 0.3425 0.6725 1.015 1.215 47.3 0.345 0.6725 1.01751.2175 47.4 0.3425 0.6750 1.0175 1.22 47.5 0.345 0.6750 1.02 1.2225 47.60.345 0.6775 1.0225 1.2275 47.7 0.3475 0.6800 1.0275 1.2325 47.8 0.34750.6825 1.03 1.235 47.9 0.35 0.6825 1.0325 1.2375 48.0 0.35 0.6850 1.0351.24 48.1 0.3525 0.6850 1.0375 1.2425 48.2 0.3525 0.6900 1.0425 1.247548.3 0.3525 0.6925 1.045 1.25 43.4 0.355 0.6925 1.0475 1.255 48.5 0.35250.6950 1.0475 1.2575 48.6 0.355 0.6950 1.05 1.26 48.7 0.355 0.69751.0525 1.2625 48.8 0.355 0.7000 1.055 1.265 48.9 0.3575 0.7000 1.05751.27 49.0 0.3575 0.7050 1.0625 1.275 49.1 0.36 0.7050 1.065 1.2775 49.20.36 0.7075 1.0675 1.28 49.3 0.36 0.7100 1.07 1.2825 49.4 0.3625 0.71001.0725 1.2875 49.5 0.3625 0.7125 1.075 1.29 49.6 0.3625 0.7150 1.07751.2925 49.7 0.365 0.7150 1.08 1.295 49.8 0.3675 0.7175 1.085 1.3 49.90.3675 0.7200 1.0875 1.3025 50.0 0.37 0.7200 1.09 1.305 50.1 0.37 0.72251.0925 1.3075 50.2 0.37 0.7250 1.095 1.3125 50.3 0.37 0.7275 1.09751.315 50.4 0.3725 0.7275 1.1 1.3175 50.5 0.3725 0.7300 1.1025 1.322550.6 0.3725 0.7325 1.105 1.325 50.7 0.375 0.7325 1.1075 1.3275 50.80.375 0.7350 1.11 1.3325 50.9 0.375 0.7375 1.1125 1.335 51.0 0.37750.7400 1.1175 1.3375 51.1 0.38 0.7400 1.12 1.3425 51.2 0.38 0.74251.1225 1.345 51.3 0.38 0.7450 1.125 1.3475 51.4 0.38 0.7475 1.12751.3525 51.5 0.38 0.7500 1.13 1.355 51.6 0.385 0.7500 1.135 1.36 51.70.385 0.7525 1.1375 1.3625 51.8 0.385 0.7550 1.14 1.365 51.9 0.3850.7550 1.14 1.3675 52.0 0.385 0.7575 1.1425 1.37 52.1 0.385 0.7600 1.1451.375 52.2 0.39 0.7600 1.15 1.3775 52.3 0.39 0.7625 1.1525 1.38 52.40.39 0.7650 1.155 1.385 52.5 0.39 0.7675 1.1575 1.3875 52.6 0.39250.7700 1.1625 1.3925 52.7 0.3925 0.7700 1.1625 1.3925 52.8 0.3925 0.77251.165 1.3975 52.9 0.395 0.7725 1.1675 1.4 53.0 0.3975 0.7750 1.17251.405 53.1 0.3975 0.7775 1.175 1.4075 53.2 0.3975 0.7800 1.1775 1.412553.3 0.3975 0.7800 1.1775 1.4125 53.4 0.4 0.7825 1.1825 1.415 53.5 0.40.7850 1.185 1.42 53.6 0.4 0.7875 1.1875 1.4225 53.7 0.4025 0.79001.1925 1.4275 53.8 0.4025 0.7925 1.195 1.4325 53.9 0.4025 0.7925 1.1951.4325 54.0 0.4025 0.7950 1.1975 1.4375 54.1 0.4075 0.7950 1.2025 1.4454.2 0.4075 0.7975 1.205 1.445 54.3 0.4075 0.7975 1.205 1.445 54.4 0.410.8000 1.21 1.45 54.5 0.41 0.8025 1.2125 1.4525 54.6 0.41 0.8050 1.2151.4575 54.7 0.4125 0.8050 1.2175 1.4575 54.8 0.4125 0.8075 1.22 1.462554.9 0.4125 0.8100 1.2225 1.465 55.0 0.415 0.8125 1.2275 1.47 55.1 0.4150.8125 1.2275 1.4725 55.2 0.4175 0.8150 1.2325 1.475 55.3 0.4175 0.81751.235 1.48 55.4 0.4175 0.8175 1.235 1.48 55.5 0.42 0.8200 1.24 1.48555.6 0.42 0.8225 1.2425 1.49 55.7 0.4225 0.8250 1.2475 1.4925 55.80.4225 0.8250 1.2475 1.495 55.9 0.4225 0.8275 1.25 1.4975 56.0 0.42250.8325 1.255 1.5025 56.1 0.4225 0.8325 1.255 1.505 56.2 0.425 0.83501.26 1.5075 56.3 0.425 0.8375 1.2625 1.5125 56.4 0.425 0.8375 1.26251.515 56.5 0.4275 0.8400 1.2675 1.5175 56.6 0.4275 0.8425 1.27 1.522556.7 0.43 0.8425 1.2725 1.525 56.8 0.43 0.8450 1.275 1.5275 56.9 0.43250.8475 1.28 1.5325 57.0 0.4325 0.8475 1.28 1.535 57.1 0.435 0.8500 1.2851.5375 57.2 0.435 0.8500 1.285 1.54 57.3 0.4325 0.8550 1.2875 1.545 57.40.435 0.8575 1.2925 1.5475 57.5 0.435 0.8575 1.2925 1.55 57.6 0.43750.8600 1.2975 1.555 57.7 0.4375 0.8625 1.3 1.5575 57.8 0.44 0.86251.3025 1.56 57.9 0.44 0.8650 1.305 1.565 58.0 0.4425 0.8650 1.3075 1.56558.1 0.44 0.8700 1.31 1.57 58.2 0.4425 0.8725 1.315 1.575 58.3 0.44250.8725 1.315 1.5775 58.4 0.445 0.8750 1.32 1.58 58.5 0.445 0.8750 1.321.5825 58.6 0.4475 0.8775 1.325 1.5875 58.7 0.445 0.8800 1.325 1.587558.8 0.4475 0.8825 1.33 1.5925 58.9 0.4475 0.8850 1.3325 1.5975 59.00.45 0.8850 1.335 1.6 59.1 0.4525 0.8875 1.34 1.6025 59.2 0.4525 0.88751.34 1.605 59.3 0.4525 0.8925 1.345 1.61 59.4 0.4525 0.8925 1.345 1.612559.5 0.455 0.8950 1.35 1.615 59.6 0.455 0.8950 1.35 1.6175 59.7 0.45750.8975 1.355 1.6225 59.8 0.455 0.9000 1.355 1.625 59.9 0.4575 0.90251.36 1.6275 60.0 0.46 0.9025 1.3625 1.63 60.1 0.46 0.9050 1.365 1.63560.2 0.4625 0.9050 1.3675 1.6375 60.3 0.46 0.9100 1.37 1.6425 60.40.4625 0.9125 1.375 1.645 60.5 0.4625 0.9125 1.375 1.6475 60.6 0.4650.9150 1.38 1.6525 60.7 0.465 0.9175 1.3825 1.655 60.8 0.465 0.92001.385 1.6575 60.9 0.4675 0.9200 1.3875 1.66 61.0 0.4675 0.9200 1.38751.6625 61.1 0.47 0.9225 1.3925 1.6675 61.2 0.47 0.9250 1.395 1.67 61.30.47 0.9275 1.3975 1.6725 61.4 0.4725 0.9275 1.4 1.675 61.5 0.47250.9300 1.4025 1.68 61.6 0.4725 0.9325 1.405 1.6825 61.7 0.475 0.93501.41 1.6875 61.8 0.475 0.9350 1.41 1.69 61.9 0.475 0.9400 1.415 1.692562.0 0.4775 0.9400 1.4175 1.695 62.1 0.4775 0.9425 1.42 1.7 62.2 0.480.9425 1.4225 1.7025 62.3 0.4775 0.9475 1.425 1.7075 62.4 0.48 0.94751.4275 1.71 62.5 0.4825 0.9475 1.43 1.71 62.6 0.48 0.9525 1.4325 1.71562.7 0.4825 0.9525 1.435 1.7175 62.8 0.485 0.9550 1.44 1.7225 62.9 0.4850.9550 1.44 1.725 63.0 0.435 0.9600 1.445 1.73 63.1 0.4875 0.9600 1.44751.73 63.2 0.4875 0.9625 1.45 1.735 63.3 0.4875 0.9650 1.4525 1.7375 63.40.49 0.9650 1.455 1.74 63.5 0.49 0.9675 1.4575 1.745 63.6 0.49 0.97001.46 1.7475 63.7 0.4925 0.9725 1.465 1.7525 63.8 0.4925 0.9725 1.4651.7525 63.9 0.495 0.9725 1.4675 1.755 64.0 0.495 0.9775 1.4725 1.76 64.10.495 0.9775 1.4725 1.7625 64.2 0.4975 0.9800 1.4775 1.7675 64.3 0.49750.9825 1.48 1.77 64.4 0.4975 0.9850 1.4825 1.775 64.5 0.5 0.9850 1.4851.7775 64.6 0.5 0.9875 1.4875 1.7775 64.7 0.5 0.9900 1.49 1.7825 64.80.5025 0.9900 1.4925 1.785 64.9 0.5025 0.9950 1.4975 1.79 65.0 0.50250.9950 1.4975 1.7925 65.1 0.505 0.9950 1.5 1.795 65.2 0.505 1.0000 1.5051.8 65.3 0.505 1.0000 1.505 1.8025 65.4 0.505 1.0025 1.5075 1.805 65.50.5075 1.0050 1.5125 1.8075 65.6 0.51 1.0050 1.515 1.81 65.7 0.50751.0100 1.5175 1.815 65.8 0.51 1.0100 1.52 1.8175 65.9 0.5125 1.01001.5225 1.82 66.0 0.51 1.0150 1.525 1.825 66.1 0.5125 1.0150 1.52751.8275 66.2 0.515 1.0150 1.53 1.83 66.3 0.515 1.0200 1.535 1.835 66.40.515 1.0200 1.535 1.8375 66.5 0.5175 1.0225 1.54 1.84 66.6 0.51751.0250 1.5425 1.8425 66.7 0.5175 1.0250 1.5425 1.845 66.8 0.5175 1.03001.5475 1.85 66.9 0.52 1.0300 1.55 1.8525 67.0 0.5225 1.0300 1.5525 1.85567.1 0.52 1.0350 1.555 1.86 67.2 0.5225 1.0350 1.5675 1.8625 67.3 0.5251.0375 1.5625 1.8675 67.4 0.5225 1.0400 1.5625 1.87 67.5 0.525 1.04001.565 1.8725 67.6 0.525 1.0450 1.57 1.8775 67.7 0.5275 1.0450 1.57251.8775 67.8 0.5275 1.0450 1.5725 1.88 67.9 0.5275 1.0500 1.5775 1.88568.0 0.53 1.0500 1.58 1.8875 68.1 0.53 1.0525 1.5825 1.89 68.2 0.531.0550 1.585 1.895 68.3 0.5325 1.0550 1.5875 1.8975 68.4 0.5325 1.05751.59 1.9 68.5 0.535 1.0600 1.595 1.905 68.6 0.5325 1.0625 1.595 1.907568.7 0.535 1.0625 1.5975 1.91 68.8 0.5375 1.0650 1.6025 1.915 68.9 0.5351.0675 1.6025 1.9175 69.0 0.5375 1.0675 1.605 1.92 69.1 0.5375 1.07251.61 1.9225 69.2 0.54 1.0725 1.6125 1.925 69.3 0.54 1.0750 1.615 1.9369.4 0.54 1.0775 1.6175 1.9325 69.5 0.5425 1.0775 1.62 1.935 69.6 0.54251.0825 1.625 1.94 69.7 0.5425 1.0825 1.625 1.9425 69.8 0.545 1.08251.6275 1.945 69.9 0.545 1.0875 1.6325 1.95 70.0 0.5475 1.0875 1.6351.9525 70.1 0.545 1.0900 1.635 1.955 70.2 0.5475 1.0925 1.64 1.96 70.30.55 1.0925 1.6425 1.9625 70.4 0.55 1.0950 1.645 1.965 70.5 0.55251.0975 1.65 1.97 70.6 0.55 1.1000 1.65 1.9725 70.7 0.5525 1.1000 1.65251.975 70.8 0.555 1.1025 1.6575 1.98 70.9 0.555 1.1050 1.66 1.98 71.00.555 1.1050 1.66 1.9825 71.1 0.555 1.1100 1.665 1.9875 71.2 0.55751.1100 1.6675 1.99 71.3 0.5575 1.1125 1.67 1.9925 71.4 0.5575 1.11501.6725 1.9975 71.5 0.56 1.1150 1.675 2 71.6 0.56 1.1175 1.6775 2.002571.7 0.5625 1.1200 1.6825 2.0075 71.8 0.56 1.1225 1.6825 2.01 71.90.5625 1.1225 1.685 2.0125 72.0 0.565 1.1250 1.69 2.0175 72.1 0.5651.1275 1.6925 2.02 72.2 0.565 1.1275 1.6925 2.0225 72.3 0.565 1.13251.6975 2.0275 72.4 0.5675 1.1325 1.7 2.03 72.5 0.5675 1.1359 1.70252.0325 72.6 0.57 1.1375 1.7075 2.0375 72.7 0.57 1.1375 1.7075 2.04 72.80.57 1.1400 1.71 2.0425 72.9 0.5725 1.1425 1.715 2.0475 73.0 0.57251.1450 1.7175 2.0475 73.1 0.5725 1.1450 1.7175 2.05 73.2 0.575 1.14751.7225 2.055 73.3 0.575 1.1500 1.725 2.0575 73.4 0.5775 1.1500 1.72752.06 73.5 0.575 1.1550 1.73 2.065 73.6 0.5775 1.1550 1.7325 2.0675 73.70.5775 1.1575 1.735 2.07 73.8 0.58 1.1600 1.74 2.075 73.9 0.5825 1.16001.7425 2.0775 74.0 0.58 1.1650 1.745 2.0825 74.1 0.5825 1.1650 1.74752.085 74.2 0.5825 1.1675 1.75 2.0875 74.3 0.585 1.1700 1.755 2.0925 74.40.5825 1.1725 1.755 2.095 74.5 0.585 1.1725 1.7575 2.0975 74.6 0.58751.1750 1.7625 2.1025 74.7 0.5875 1.1775 1.765 2.105 74.8 0.5875 1.17751.765 2.1075 74.9 0.5875 1.1825 1.77 2.1125 75.0 0.59 1.1825 1.77252.115 75.1 0.5925 1.1825 1.775 2.1175 75.2 0.5925 1.1875 1.78 2.122575.3 0.5925 1.1875 1.78 2.125 75.4 0.5925 1.1900 1.7825 2.1275 75.50.595 1.1925 1.7875 2.13 75.6 0.595 1.1950 1.79 2.1325 75.7 0.595 1.19751.7925 2.1375 75.8 0.5975 1.1975 1.795 2.14 75.9 0.5975 1.2000 1.79752.1425 76.0 0.6 1.2025 1.8025 2.1475 76.1 0.5975 1.2050 1.8025 2.15 76.20.6 1.2050 1.805 2.1525 76.3 0.6025 1.2075 1.81 2.1575 76.4 0.60251.2100 1.8125 2.16 76.5 0.605 1.2125 1.8175 2.165 76.6 0.6025 1.21501.8175 2.1675 76.7 0.605 1.2150 1.82 2.17 76.8 0.6075 1.2175 1.825 2.17576.9 0.6075 1.2200 1.8275 2.1775 77.0 0.6075 1.2200 1.8275 2.18 77.10.6075 1.2250 1.8325 2.185 77.2 0.61 1.2250 1.835 2.1875 77.3 0.611.2300 1.84 2.1925 77.4 0.61 1.2300 1.84 2.195 77.5 0.6125 1.2300 1.84252.1975 77.6 0.6125 1.2350 1.8475 2.2025 77.7 0.615 1.2350 1.85 2.20577.8 0.615 1.2400 1.855 2.21 77.9 0.615 1.2400 1.855 2.2125 78.0 0.61751.2400 1.8575 2.2125 78.1 0.6175 1.2450 1.8625 2.2175 78.2 0.62 1.24501.865 2.22 78.3 0.6175 1.2500 1.8675 2.225 78.4 0.62 1.2500 1.87 2.227578.5 0.6225 1.2500 1.8725 2.23 78.6 0.6225 1.2550 1.8775 2.235 78.70.6225 1.2550 1.8775 2.2375 78.8 0.625 1.2575 1.8825 2.2425 78.9 0.6251.2600 1.885 2.245 79.0 0.6275 1.2625 1.89 2.25 79.1 0.625 1.2650 1.892.2525 79.2 0.6275 1.2650 1.8925 2.255 79.3 0.63 1.2675 1.8975 2.26 79.40.63 1.2700 1.9 2.2625 79.5 0.63 1.2725 1.9025 2.2675 79.6 0.63 1.27501.905 2.27 79.7 0.6325 1.2775 1.91 2.275 79.8 0.635 1.2775 1.9125 2.277579.9 0.6325 1.2825 1.915 2.2825 80.0 0.635 1.2825 1.9175 2.285 80.10.6375 1.2825 1.92 2.2875 80.2 0.6375 1.2875 1.925 2.2925 80.3 0.63751.2875 1.925 2.2925 80.4 0.6375 1.2925 1.93 2.2975 80.5 0.64 1.29251.9325 2.3 80.6 0.6425 1.2950 1.9375 2.305 80.7 0.64 1.2975 1.93752.3075 80.8 0.6425 1.3000 1.9425 2.3125 80.9 0.645 1.3000 1.945 2.31581.0 0.645 1.3050 1.95 2.32 81.1 0.645 1.3059 1.95 2.3225 81.2 0.64751.3075 1.955 2.3275 81.3 0.6475 1.3100 1.9575 2.33 81.4 0.65 1.31251.9625 2.335 81.5 0.6475 1.3150 1.9625 2.3375 81.6 0.65 1.3175 1.96752.3425 81.7 0.6525 1.3175 1.97 2.345 81.8 0.6525 1.3225 1.975 2.35 81.90.6525 1.3225 1.975 2.3525 82.0 0.655 1.3250 1.98 2.3575 82.1 0.6551.3275 1.9825 2.36 82.2 0.6575 1.3300 1.9875 2.3625 82.3 0.6575 1.33001.9875 2.365 82.4 0.6575 1.3350 1.9925 2.37 82.5 0.66 1.3350 1.9952.3725 82.6 0.66 1.3375 1.9975 2.3775 82.7 0.66 1.3400 2 2.38 82.80.6625 1.3425 2.005 2.385 82.9 0.665 1.3450 2.01 2.39 83.0 0.6625 1.34752.01 2.3925 83.1 0.665 1.3500 2.015 2.3975 83.2 0.6675 1.3500 2.0175 2.483.3 0.6675 1.3550 2.0225 2.405 83.4 0.6675 1.3550 2.0225 2.4075 83.50.67 1.3575 2.0275 2.4125 83.6 0.6725 1.3600 2.0325 2.4175 83.7 0.671.3625 2.0325 2.42 83.8 0.6725 1.3650 2.0375 2.4225 83.9 0.675 1.36502.04 2.425 84.0 0.675 1.3700 2.045 2.43 84.1 0.675 1.3700 2.045 2.432584.2 0.6775 1.3725 2.05 2.4375 84.3 0.6775 1.3775 2.055 2.4425 84.40.6775 1.3775 2.055 2.445 84.5 0.68 1.3800 2.06 2.45 84.6 0.6825 1.38252.065 2.455 84.7 0.68 1.3850 2.065 2.4575 84.8 0.6825 1.3875 2.07 2.462584.9 0.685 1.3875 2.0725 2.465 85.0 0.6825 1.3925 2.075 2.47 85.1 0.6851.3950 2.08 2.4725 85.2 0.6875 1.3950 2.0825 2.475 85.3 0.69 1.39752.0875 2.48 85.4 0.6875 1.4025 2.09 2.485 85.5 0.69 1.4025 2.0925 2.487585.6 0.6925 1.4050 2.0975 2.4925 85.7 0.6925 1.4075 2.1 2.4975 85.80.6925 1.4100 2.1025 2.5 85.9 0.695 1.4125 2.1075 2.505 86.0 0.6951.4150 2.11 2.51 86.1 0.6975 1.4150 2.1125 2.5125 85.2 0.6975 1.42002.1175 2.515 86.3 0.6975 1.4225 2.12 2.52 86.4 0.7 1.4250 2.125 2.52586.5 0.7025 1.4250 2.1275 2.5275 86.6 0.7 1.4300 2.13 2.5325 86.7 0.70251.4325 2.135 2.5375 86.8 0.705 1.4350 2.14 2.5425 86.9 0.705 1.4350 2.142.545 87.0 0.7075 1.4375 2.145 2.55 87.1 0.7075 1.4425 2.15 2.5525 87.20.7075 1.4450 2.1525 2.5575 87.3 0.71 1.4450 2.155 2.56 87.4 0.71 1.44752.1575 2.565 87.5 0.7125 1.4500 2.1625 2.57 87.6 0.7125 1.4550 2.16752.575 87.7 0.7125 1.4550 2.1675 2.5775 87.8 0.715 1.4575 2.1725 2.582587.9 0.7175 1.4600 2.1775 2.5875 88.0 0.7175 1.4625 2.18 2.59 88.1 0.721.4650 2.185 2.595 88.2 0.72 1.4675 2.1875 2.5975 88.3 0.72 1.4700 2.192.6025 88.4 0.7225 1.4725 2.195 2.6075 88.5 0.7225 1.4750 2.1975 2.612588.6 0.725 1.4775 2.2025 2.6175 88.7 0.7275 1.4800 2.2075 2.62 88.80.7275 1.4825 2.21 2.625 88.9 0.7275 1.4850 2.2125 2.6275 89.0 0.72751.4875 2.215 2.6325 89.1 0.73 1.4900 2.22 2.6375 89.2 0.7325 1.49252.225 2.6425 89.3 0.7325 1.4950 2.2275 2.6475 89.4 0.735 1.4975 2.23252.65 89.5 0.735 1.5000 2.235 2.655 89.6 0.7375 1.5025 2.24 2.66 89.70.7375 1.5050 2.2425 2.665 89.8 0.7375 1.5100 2.2475 2.67 89.9 0.741.5125 2.2525 2.675 90.0 0.74 1.5125 2.2525 2.675 90.1 0.7425 1.51752.26 2.6825 90.2 0.7425 1.5175 2.26 2.685 90.3 0.745 1.5200 2.265 2.6990.4 0.745 1.5225 2.2675 2.695 90.5 0.7475 1.5250 2.2725 2.7 90.6 0.751.5275 2.2775 2.7025 90.7 0.75 1.5300 2.28 2.7075 90.8 0.7525 1.53252.285 2.7125 90.9 0.7525 1.5350 2.2875 2.7175 91.0 0.755 1.5375 2.29252.7225 91.1 0.755 1.5425 2.2975 2.7275 91.2 0.7575 1.5450 2.3025 2.732591.3 0.7575 1.5475 2.305 2.7325 91.4 0.76 1.5500 2.31 2.7425 91.5 0.761.5525 2.3125 2.7475 91.6 0.7625 1.5550 2.3175 2.75 91.7 0.7625 1.55752.32 2.755 91.8 0.765 1.5600 2.325 2.76 91.9 0.765 1.5625 2.3275 2.76592.0 0.7675 1.5650 2.3325 2.7675 92.1 0.7675 1.5675 2.335 2.7725 92.20.77 1.5725 2.3425 2.73 92.3 0.77 1.5750 2.345 2.785 92.4 0.7725 1.57752.35 2.79 92.5 0.7725 1.5800 2.3525 2.7925 92.6 0.7725 1.5825 2.3552.7975 92.7 0.775 1.5850 2.36 2.8025 92.8 0.775 1.5875 2.3625 2.807592.9 0.7775 1.5925 2.37 2.8125 93.0 0.7775 1.5950 2.3725 2.8175 93.10.78 1.5975 2.3775 2.8225 93.2 0.7825 1.5975 2.38 2.825 93.3 0.7851.6025 2.3875 2.8325 93.4 0.785 1.6050 2.39 2.8375 93.5 0.785 1.60752.3925 2.8425 93.6 0.7875 1.6100 2.3975 2.845 93.7 0.7875 1.6150 2.40252.8525 93.8 0.79 1.6175 2.4075 2.8575 93.9 0.7925 1.6175 2.41 2.66 94.00.7925 1.6225 2.415 2.8675 94.1 0.795 1.6250 2.42 2.8725 94.2 0.7951.6275 2.4225 2.875 94.3 0.795 1.6325 2.4275 2.8825 94.4 0.7975 1.63502.4325 2.6875 94.5 0.8 1.6350 2.435 2.8925 94.6 0.8025 1.6400 2.44252.8975 94.7 0.3025 1.6425 2.445 2.9025 94.8 0.8025 1.6450 2.4475 2.90594.9 0.8075 1.6475 2.455 2.9125 95.0 0.8075 1.6500 2.4575 2.9175 95.10.8075 1.6550 2.4625 2.9225 95.2 0.31 1.6575 2.4675 2.9275 95.3 0.811.6600 2.47 2.9325 95.4 0.8125 1.6625 2.475 2.9375 95.5 0.8125 1.66502.4775 2.9425 95.6 0.815 1.6700 2.485 2.95 95.7 0.3175 1.6700 2.48752.9525 95.8 0.8175 1.6750 2.4925 2.96 95.9 0.82 1.6775 2.4975 2.962596.0 0.8225 1.6800 2.5025 2.97 96.1 0.8225 1.6850 2.5075 2.9775 96.20.8225 1.6875 2.51 2.93 96.3 0.8275 1.6900 2.5175 2.9875 96.4 0.82751.6925 2.52 2.99 96.5 0.8275 1.6975 2.525 2.9975 96.6 0.83 1.6975 2.52753 96.7 0.83 1.7025 2.5325 3.0075 96.8 0.835 1.7000 2.535 3.0075

What is claimed is:
 1. A method comprising: heating, with a heater, apropellant stored in a tank to a first stable temperature at a firsttime and to a second stable temperature at a second time; measuring,with a pressure sensor and a temperature sensor, a first pressure and afirst temperature, respectively, of the propellant in a non-ideal gaszone while the propellant is at the first stable temperature at thefirst time; measuring, with the pressure sensor and the temperaturesensor, a second pressure and a second temperature, respectively, of thepropellant in the non-ideal gas zone while the propellant is at thesecond stable temperature at the second time; and determining, byexecuting an instruction with a processor, based on a differentialpressure between the first pressure and the second pressure and adifferential temperature between the first temperature and the secondtemperature, a mass of the propellant in the tank.
 2. The method ofclaim 1, wherein the determining of the mass of the propellant includescomparing the differential pressure and the differential temperature toa table relating mass to temperature differentials as a function ofpressure differentials.
 3. The method of claim 1, wherein the propellantis xenon.
 4. The method of claim 1, wherein the first time is a periodof time, and the first pressure and the first temperature are an averagepressure and an average temperature over the period of time.
 5. Themethod of claim 4, wherein the period of time is approximately 48 hours.6. The method of claim 1, wherein the tank is a propellant tank of asatellite thruster.
 7. A spacecraft thruster comprising: a tank having apropellant; a pressure sensor and a temperature sensor disposed in thetank, the pressure sensor and the temperature sensor to measure (1) afirst pressure and a first temperature of the propellant in a non-idealgas zone while the propellant is at a first hold temperature at a firsttime, and (2) a second pressure and a second temperature of thepropellant in the non-ideal gas zone while the propellant is at a secondhold temperature at a second time; and a processor to determine a massof the propellant in the tank based on the first pressure, the firsttemperature, the second pressure and the second temperature.
 8. Thespacecraft thruster of claim 7, wherein the processor is to determinethe mass based a difference between the first pressure and the secondpressure and a difference between the first temperature and the secondtemperature.
 9. The spacecraft thruster of claim 7 further including aheater disposed in the tank.
 10. The spacecraft thruster of claim 9,wherein the processor is to control the heater to maintain thepropellant at the first hold temperature.
 11. The spacecraft thruster ofclaim 10, wherein the processor is to control the heater to maintain thepropellant at the second hold temperature.
 12. The spacecraft thrusterof claim 7, wherein the propellant is xenon.
 13. A non-transitorymachine readable storage medium comprising instructions that, whenexecuted, cause a machine to at least: adjust, using a heatercontroller, a temperature of a propellant stored in a tank of asatellite thruster to a first stable temperature at a first time and toa second stable temperature at a second time; measure, using a pressuresensor and a temperature sensor, a first pressure and a firsttemperature, respectively, of the propellant in a non-ideal gas zonewhile the propellant is at the first stable temperature at the firsttime; measure, using the pressure sensor and the temperature sensor, asecond pressure and a second temperature, respectively, of thepropellant in the non-ideal gas zone while the propellant is at thesecond stable temperature at the second time; and determine, based on adifferential pressure between the first temperature and the secondtemperature and a differential temperature between the first temperatureand the second temperature, a mass of the propellant in the tank. 14.The non-transitory machine readable storage medium of claim 13, whereinthe instructions, when executed, cause the machine to compare thedifferential pressure and the differential temperature to a tablerelating mass to temperature differentials as a function of pressuredifferentials to determine the mass of the propellant.
 15. Thenon-transitory machine readable storage medium of claim 13, wherein thefirst time is a first period of time, and the first pressure and thefirst temperature are an average pressure and an average temperatureover the first period of time.
 16. The non-transitory machine readablestorage medium of claim 13, wherein the second time is a second periodof time, and the second pressure and the second temperature are anaverage pressure and an average temperature over the second period oftime.
 17. The non-transitory machine readable storage medium of claim13, wherein the propellant is xenon.